Dynamical significance of generalized fractional integral inequalities via convexity
AIMS Mathematics, 2021 The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting as ...
Sabila Ali +7 more
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On Some Integral Inequalities via Conformable Fractional Integrals
Applied Mathematics and Nonlinear Sciences, 2020 In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
A. Akdemi̇r, E. Deniz, Ebru Yüksel
semanticscholar +1 more source
New developments in fractional integral inequalities via convexity with applications
AIMS Mathematics, 2023 The main objective of this article is to build up a new integral equality related to Riemann Liouville fractional (RLF) operator. Based on this integral equality, we show numerous new inequalities for differentiable convex as well as concave functions ...
Maimoona Karim +4 more
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A New Ostrowski’s Type Inequality for Quadratic Kernel
International Journal of Analysis and Applications, 2022 From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems.
M. M. Saleem +4 more
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On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions
Asian Research Journal of Mathematics, 2019 In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions.
M. Ali +4 more
semanticscholar +1 more source
Certain Hadamard Proportional Fractional Integral Inequalities
Mathematics, 2020 In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels.
G. Rahman +2 more
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
Journal of Inequalities and Applications, 2009 We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
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On some fractional integral inequalities for generalized strongly modified $h$-convex functions
AIMS Mathematics, 2020 Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties.
Peiyu Yan +4 more
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Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
, 2020 In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively ...
S. Özcan
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Certain Fractional Proportional Integral Inequalities via Convex Functions
Mathematics, 2020 The goal of this article is to establish some fractional proportional integral inequalities for convex functions by employing proportional fractional integral operators.
G. Rahman +3 more
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