Browsing by Author "Nidhi Sharma"

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A weighted version of Hermite-Hadamard type inequalities for strongly GA-convex functions
(Institute of Advanced Science Extension (IASE), 2020) Nidhi Sharma; S.K. Mishra; A. Hamdi
In this paper, we have established new weighted Hermite-Hadamard type inequalities for strongly GA-convex functions. Those findings are obtained by using geometric symmetry of continuous positive mappings and differentiable mappings whose derivative in absolute value are strongly GAconvex. Some previous results are special cases of the results obtained in this paper. © 2020 The Authors.
Ceramic-based nanocomposites: A perspective from carbonaceous nanofillers
(Elsevier Ltd, 2022) Nidhi Sharma; Tuhina Saxena; Syed Nasimul Alam; Bankim Chandra Ray; Krishanu Biswas; Shikhar Krishn Jha
To overcome the inherent brittle nature of ceramics and to optimize their favorable properties, new design philosophies and novel concepts for manufacturing are needed. Owing to their distinguished mechanical attributes such as strength and stiffness, developing ceramic matrix composites (CMCs) has become the latest penchant for researchers. CMCs are traditionally fibers dispersed in a ceramic matrix (oxide or non-oxide). With the advent of nanoparticles, the probing interests in the field of CMCs are now transforming from traditional reinforcement media (microscale fillers) into new possibilities at the nanoscale. This has brought a new generation of CMCs at nanometric level, commonly known as ceramic matrix nanocomposites (CMNCs). Introduction of nanomaterials like graphene and carbon nanotubes (CNTs) as nano-reinforcements has modified the ceramic-structures at the nanometric level for advanced applications in fields such as automotive, industrial, and aerospace engineering. Lately, a variety of new strategies such as tuning in the presence of dopants, opting pristine dispersion routes and usage of modified sintering techniques have enhanced the distinctive features of the CMNCs. This work summarizes the ongoing advances, recent research, key challenges in the implementation of carbonaceous CMNCs reinforced with graphene and CNTs along with their applications and future prospects. A detailed discussion on the sintering techniques, tribological behavior, strengthening and toughening mechanisms of carbonaceous CMNCs is presented. Various advantages of CMNCs reinforced with graphene and CNTs along with a few drawbacks like the cost and process-limitations have been elaborated. © 2022 Elsevier Ltd
Extensions of different type parameterized inequalities for generalized (M, h)-preunivex mappings via k-fractional integrals
(International Publications, 2020) Nidhi Sharma; S.K. Mishra; R.N. Mohapatra
In this paper, we introduce the concept of generalized (m, h)-preunivex function and derive some new bounds on Hermite-Hadamard’s and Simpson’s inequalities for generalized (m, h)-preunivex functions through k−fractional integrals. Some interesting results are also obtained. © 2020, International Publications. All rights reserved.
Hermite–Hadamard Type Inequalities For Functions Whose Derivatives Are Strongly η -Convex Via Fractional Integrals
(Springer, 2021) Nidhi Sharma; Jaya Bisht; S.K. Mishra
In this chapter, we establish some Hermite–Hadamard and Féjer type inequalities for strongly η -convex functions. We derive fractional integral inequalities for strongly η -convex functions. Further, some applications of these results to special means of real numbers are also discussed. Moreover, our results include several new and known results in particular cases. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
Hermite-Hadamard type integral inequalities for multidimensional general h-harmonic preinvex stochastic processes
(Taylor and Francis Ltd., 2022) Nidhi Sharma; Rohan Mishra; Abdelouahed Hamdi
In this paper, we introduce a new concept of preinvex functions which is called general h-harmonic preinvex for real-valued stochastic processes. Further, we define the multidimensional general h-harmonic preinvex stochastic processes. We prove the Hermite-Hadamard inequality and obtain some important results for these processes. Some previous results are special cases of the results obtained in this paper. © 2021 Taylor & Francis Group, LLC.
HERMITE–HADAMARD TYPE INTEGRAL INEQUALITIES FOR THE CLASS OF STRONGLY CONVEX FUNCTIONS ON TIME SCALES
(Element D.O.O., 2022) Kin Keung Lai; Jaya Bisht; Nidhi Sharma; Shashi Kant Mishra
In this paper, we introduce the notion of a strongly convex function with respect to two non-negative auxiliary functions on time scales. We establish several new dynamic inequalities for these classes of strongly convex functions. The results obtained in this paper are the generalization of the results of Rashid et al. (Mathematics, 7 (10), 956, 2019). Further, we discuss some special cases which may be deduced from our main results. Moreover, some examples of our main results are mentioned. © 2022, Journal of Mathematical Inequalities. All Rights Reserved.
Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions
(MDPI, 2022) Kin Keung Lai; Jaya Bisht; Nidhi Sharma; Shashi Kant Mishra
We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued Riemann–Liouville fractional integrals. Further, we prove fractional Hermite–Hadamard-type inclusions for the product of two harmonically h-preinvex interval-valued functions. In this way, these findings include several well-known results and newly obtained results of the existing literature as special cases. Moreover, applications of the main results are demonstrated by presenting some examples. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals
(Springer Science and Business Media Deutschland GmbH, 2021) Nidhi Sharma; Sanjeev Kumar Singh; Shashi Kant Mishra; Abdelouahed Hamdi
In this paper, we introduce (h1, h2) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results. © 2021, The Author(s).
Integral Inequalities and Generalized Convexity
(CRC Press, 2023) Shashi Kant Mishra; Nidhi Sharma; Jaya Bisht
The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus. The book contains integral inequalities of Hermite-Hadamard type, Hermite-Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions. Features: Covers Interval-valued calculus, Time scale calculus, Stochastic processes-all in one single book Numerous examples to validate results Provides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitioners Applications of some special means of real numbers are also discussed The book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area. © 2024 Shashi Kant Mishra, Nidhi Sharma, Jaya Bisht.
Interstate Wage Differentials in Organized Manufacturing Industries
(Springer, 2021) Nidhi Sharma
In post-reforms years, employment in organized manufacturing sector was much faster than pre-reform years. Growth momentum of employment has been larger than growth momentum of output. Further, since year 2000, real wages of the workers increased much faster, while per cent share of income wages in value added of industry output showed a decline. Declining wage share is a global phenomenon, not confined to a specific economy. The present paper points out that in all selected years (2006–2007, 2009–2010, 2013–2014 and 2017–2018), rise in labour productivity has increased wage disparity. It implies if wages and salaries of non-workers increase disproportionately due to rise in labour productivity in organized manufacturing factories, the wage disparity will rise. Increase in labour productivity increases average real wages during 2009–2010 and 2017–2018. Also, in 2009–2010 and 2017–2018, increase in capital labour ratio results in an increase in wage rate. Further, study also shows that average wage rate rises and wage disparity falls across the Indian states. © 2021, Indian Society of Labour Economics.
Intervention in Biofuel Policy through Indian Perspective: An Effort toward Sustainable Development Goals
(CRC Press, 2023) Rohit Jambhulkar; Nidhi Sharma
India has been reliant on fossil fuels due to growing energy demands for the last two decades. Due to the inadequate supply and concerns associated with greenhouse gas (GHG) emissions, its dependency has declined. By substituting conventional fossil fuels, biofuel can become one of the most promising sustainable energy resources to fulfill the higher energy demand in the future. Moreover, the biofuel industry is in the initial stage due to impediments in the technical, economic, social, and regulatory framework. Developing technologies for producing bioethanol and biodiesel from biowaste are helping the nation and booming commercially nowadays. Biofuel has the potential to stimulate rural development by generating empowerment and creating environmental and economic benefits. The biofuel industrial sector has shown promising results and could serve as a potential source of substantial employment in the near future. However, sustainable key indicators encompassing social and economic factors need to be evaluated properly in different scenarios to incorporate biofuel policy successfully. In the last two decades, much attention has been given to biofuel production and policy intervention by the Government of India. Policy intervention is overviewed in this chapter, dedicating particular thought to blending targets, support schemes, and feedstock use. This chapter also discusses sustainable development goals (SDGs), key sustainable indicators, and socioeconomic aspects of biofuels from an Indian perspective. © 2023 selection and editorial matter, Rena and Sunil Kumar; individual chapters, the contributors.
On strongly generalized convex functions of higher order
(Element D.O.O., 2019) S.K. Mishra; Nidhi Sharma
In this paper, we have introduced the notion of strongly generalized convex functions of higher order. We derived new integral inequalities of Hermite-Hadamard and Hermite- Hadamard-Fejer type for the class of strongly generalized convex functions of higher order. The results of Awan et al. [M. U. AWAN, M. A. NOOR, K. I. NOOR AND F. SAFDAR, On strongly generalized convex functions, Filomat 31, 18 (2017), 5783-5790] are the special case of the results obtained in this paper. © 2019 Element D.O.O. All Rights Reserved.
On strongly generalized convex stochastic processes
(Taylor and Francis Ltd., 2024) Nidhi Sharma; Rohan Mishra; Abdelouahed Hamdi
In this paper, we introduce the notion of strongly generalized convex functions which is called as strongly η-convex stochastic processes. We prove the Hermite-Hadamard, Ostrowski type inequality, and obtain some important inequalities for above processes. Some previous results are special cases of the results obtained in this paper. © 2022 The Author(s). Published with license by Taylor & Francis Group, LLC.
Plant growth regulators in fig
(Taylor and Francis Inc., 2022) Nidhi Sharma; Vikas Kumar Sharma; Soubhagy Kumar Sahu; A.K. Godara; A.K. Panda
[No abstract available]
SOME MAJORIZATION INTEGRAL INEQUALITIES FOR FUNCTIONS DEFINED ON RECTANGLES VIA STRONG CONVEXITY
(University of Prishtina, 2019) Nidhi Sharma; Jaya Bisht; S.K. Mishra; A. Hamdi
In this paper, we have extended some integral majorization types and generalized Favard’s inequalities from functions dened on intervals to functions dened on rectangles via strong convexity and apply the results to establish some new integral inequalities for functions dened on rectangles. © 2019, University of Prishtina. All rights reserved.
Some new integral inequalities for higher-order strongly exponentially convex functions
(Institute for Ionics, 2023) Jaya Bisht; Nidhi Sharma; Shashi Kant Mishra; Abdelouahed Hamdi
Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we study the concept of higher-order strongly exponentially convex functions and establish a new Hermite–Hadamard inequality for the class of strongly exponentially convex functions of higher order. Further, we derive some new integral inequalities for Riemann–Liouville fractional integrals via higher-order strongly exponentially convex functions. These findings include several well-known results and newly obtained results as special cases. We believe that the results presented in this paper are novel and will be beneficial in encouraging future research in this field. © 2023, The Author(s).
Unveiling the composition of bio-earth from landfill mining and microplastic pollution
(Springer Science and Business Media Deutschland GmbH, 2024) Rohit Jambhulkar; Nidhi Sharma; Debajyoti Kundu; Sunil Kumar
Landfill mining is the prominent solution for the recovery of resources from legacy waste. The bio-earth recovered from landfill mining is being utilized for a variety of applications like application as fertilizer. The presence of microplastic in the recovered bio-earth disrupts its usefulness. This study investigated the composition and microplastic pollution in bio-earth derived from landfill mining at the Bhandewadi landfill, Nagpur, India. Results provided insights into its characterization and presence of microplastic. The average moisture content of the bio-earth was 25.2 ± 1.1% with total organic carbon of 14.3 ± 0.6%. The bio-earth exhibited a C:N ratio of 16.9 ± 5.0, volatile solid content of 24.6 ± 1.0%, and ash content of 75.4 ± 1.0%. Bulk density was 434.3 ± 37.2 kg/m3, pH value 6.91 ± 0.28, and electrical conductivity 4.6 ± 0.7 dS/m. Total nitrogen content was 0.9 ± 0.3%, available phosphorus 2.1 ± 0.3 g/kg, and potassium and sodium contents of 12.7 ± 0.4 g/kg and 3.9 ± 0.3 g/kg, respectively. Heavy metals detected included Fe, Zn, Mn, Cu, Pb, Ni, Cr, and Cd. Microplastics in the bio-earth samples were assessed using attenuated total reflectance–Fourier-transform infrared spectroscopy (ATR-FTIR). The amount of microplastics averaged 100,150 ± 29,286 items per kg (dry basis). Additionally, five specific polymer types were prominent as microplastics. Further research and mitigation strategies are necessary to ensure the safe and sustainable use of bio-earth in agriculture and horticulture. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.