Results 31 to 40 of about 513,843 (110)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this article, we introduce a general class of convex functions and proved some of its basic properties. We establish Hermite‐Hadamard type inequalities as well as fractional version of Hermite‐Hadamard type inequalities by using Riemann‐Liouville integral operator. At the end, some application to special means of real numbers are also given.
Xiaogang Liu +4 more
wiley +1 more source
Some Interesting Inequalities for the Class of Generalized Convex Functions of Higher Order
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we study a generalized version of strongly reciprocally convex functions of higher order. Firstly, we prove some basic properties for addition, scalar multiplication, and composition of functions. Secondly, we establish Hermite‐Hadamard and Fejér type inequalities for the generalized version of strongly reciprocally convex functions of ...
Limei Liu +5 more
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Mathematics, 2023 We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan +4 more
doaj +1 more source
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with (h, s)−convexity. We introduce the concept of reciprocally strongly (h, s)−convex functions and establish some of their fundamental properties. In addition, we establish various inequalities, including Jensen, Hermite–Hadamard, and
Yujun Wang +4 more
wiley +1 more source
The Properties of Harmonically cr-h-Convex Function and Its Applications
Mathematics, 2022 In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu +3 more
doaj +1 more source
New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
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Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal of Inequalities and Applications, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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Axioms, 2023 In this article, the up and down harmonically convex fuzzy-number-valued mapping which is a novel kind of harmonically convex fuzzy-number-valued mapping is introduced.
Muhammad Bilal Khan +4 more
doaj +1 more source
Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]
, 2001 Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S +2 more
core +3 more sources