Results 31 to 40 of about 351 (135)
Giaccardi Inequality for Modified h‐Convex Functions and Mean Value Theorems
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we consider the class of modified h−convex functions and derive the famous Giaccardi and Petrovic′ type inequalities for this class of functions. The mean value theorems for the functionals due to Giaccardi and Petrovic′ type inequalities are formulated. Some special cases are discussed by taking different examples of function h.
Yonghong Liu +5 more
wiley +1 more source
Hermite-Hadamard-type inequalities for (g,φh)-convex dominated functions [PDF]
, 2013 In this paper, we introduce the notion of -convex dominated function and present some properties of them. Finally, we present a version of Hermite-Hadamard-type inequalities for -convex dominated functions.
Havva Kavurmacı +2 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The aim of this article is to obtain some new integral inclusions essentially using the interval‐valued harmonically co‐ordinated convex functions and κ‐Raina’s fractional double integrals. To show the validity of our theoretical results, we also give some numerical examples.
Bandar Bin Mohsin +6 more
wiley +1 more source
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 Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main objective of the paper is to develop an innovative idea of bringing continuous and discrete inequalities into a unified form. The desired objective is thus obtained by embedding majorization theory with the existing notion of continuous inequalities.
Shah Faisal +5 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
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In the present study, fractional variants of Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte inequalities are studied by employing Mercer concept. Firstly, new Hermite–Hadamard–Mercer‐type inequalities are presented for harmonically convex functions involving fractional integral operators with exponential kernel.
Saad Ihsan Butt +5 more
wiley +1 more source
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
doaj +1 more source
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
Double integral inequalities of Hermite-Hadamard type for h-convex functions on linear spaces [PDF]
, 2016 Some double integral inequalities of Hermite–Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir, Sever S
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