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Axioms, 2022 The objective of the current paper is to incorporate the new class and concepts of convexity and Hermite–Hadamard inequality with the fuzzy Riemann integral operators because almost all classical single-valued and interval-valued convex functions are ...
Muhammad Bilal Khan +3 more
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Application of Functionals in Creating Inequalities
Journal of Function Spaces, 2016 The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality.
Zlatko Pavić +2 more
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International Journal of Computational Intelligence Systems, 2022 The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan +4 more
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Mathematics, 2021 In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function Υ˘ using an another function ϑ(ζ˙).
Humaira Kalsoom +3 more
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Fractal and Fractional, 2023 In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional operators are used to simulate a broad range of scientific as well as engineering phenomena such as elasticity, viscous fluid,
Muhammad Tariq +2 more
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New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus [PDF]
, 2022 This reprint focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable ...
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Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application
Journal of Function Spaces, 2019 Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
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Some New Estimates on Coordinates of Generalized Convex Interval-Valued Functions
Fractal and Fractional, 2022 The theory of convex and nonconvex mapping has a lot of applications in the field of applied mathematics and engineering. The Riemann integrals are the most significant operator of interval theory, which permits the generalization of the classical theory
Muhammad Bilal Khan +2 more
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Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions
Axioms, 2022 In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator ω1,ω2-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator ω1,ω2-preinvex ...
Sikander Mehmood +5 more
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Some weighted trapezoidal type inequalities via h-preinvexity [PDF]
, 2020 In this paper, a new identity is given, some weighted trapezoidal type inequalities via h-preinvexity are established, and several known results are ...
B. Meftah, K. Mekalfa
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