Results 31 to 40 of about 282 (135)
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
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On some inequality of Hermite-Hadamard type [PDF]
, 2011 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Wasowicz, Szymon, Witkowski, Alfred
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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
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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
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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
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite‐Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish
Wenbo Xu +5 more
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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
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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 Function Spaces, Volume 2022, Issue 1, 2022., 2022 The study of convex functions is an interesting area of research due to its huge applications in pure and applied mathematics special in optimization theory. The aim of this paper is to introduce and study a more generalized class of convex functions. We established Schur (S), Hermite‐Hadamard (HH), and Fejér (F) type inequalities for introduced class ...
Yi Ma +4 more
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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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