Results 31 to 40 of about 16,017,612 (284)
On some integral inequalities for $(h,m)$-convex functions in a generalized framework
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we present some new integral inequalities of Hermite-Hadamard type. To obtain these results, general convex functions of various type are considered such as $(h,m)$-convex functions.
P. Kórus, J.E. Nápoles Valdés
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Open Physics, 2021 In the present study, two new classes of convex functions are established with the aid of Raina’s function, which is known as the ψ-s-convex and ψ-quasi-convex functions. As a result, some refinements of the Hermite–Hadamard (ℋℋ{\mathcal{ {\mathcal H} {\
Rashid Saima +3 more
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Some integral inequalities for approximately h-convex functions and their applications
Proyecciones (Antofagasta), 2021 In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder—Íşcan integral inequality three inequalities of Hermite—Hadamard and Hadamard integral type for (h, d)—convex functions have been established. Various special cases including classes for instance, h—convex, s—convex function of Breckner and Godunova—Levin—
Artion Kashuri +2 more
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Journal of Function Spaces, 2022 In this article, generalized versions of the k-fractional Hadamard and Fejér-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k-fractional integral operators including the well-known Mittag-Leffler function
Xiujun Zhang +3 more
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MϕA-h-Convexity and Hermite-Hadamard Type Inequalities
International Journal of Analysis and Applications, 2022 We investigate a family of MϕA-h-convex functions, give some properties of it and several inequalities which are counterparts to the classical inequalities such as the Jensen inequality and the Schur inequality.
Sanja Varošanec
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On approximately harmonic h-convex functions depending on a given function
Filomat, 2019 A new class of harmonic convex function depending on given functions which is called as ?approximately harmonic h-convex functions? is introduced. With the discussion of special cases it is shown that this class unifies other classes of approximately harmonic h-convex function. Some associated integral inequalities with these new classes of
Awan, Muhammad Uzair +4 more
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Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
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Modified class of hyperbolic p-convex function with application to integral inequalities
Ain Shams Engineering JournalIn this paper, the new class of modified hyperbolic p-convex functions is introduced and some of their basic algebraic properties are presented. The motivation behind for introducing this new class is that it can solve more complicated problems, such as ...
Xiaoming Wang +4 more
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On new Simpson’s type ınequalities for trigonometrically convex functions with applications
Cumhuriyet Science Journal, 2020 The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal +3 more
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