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Inequalities via generalized h-convex functions
Issues of Analysis, 2018 Summary: In the paper, we establish some new Hermite-Hadamard-Fejér type inequalities via generalized \(h\)-convex functions, Toader-like convex functions and their variant forms. Several special cases are also discussed. Results proved in this paper can be viewed as significant new contributions in this field.
M. A. Noor, K. I. Noor, F. Safdar
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Generalized Hermite–Hadamard-Type Integral Inequalities for h-Godunova–Levin Functions
Journal of Function Spaces, 2022 The main objective of this article is to establish generalized fractional Hermite–Hadamard and related type integral inequalities for h-Godunova–Levin convexity and h-Godunova–Levin preinvexity with extended Wright generalized Bessel function acting as ...
Rana Safdar Ali +5 more
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On separation by h-convex functions [PDF]
Tatra Mountains Mathematical Publications, 2015 Abstract In the present paper, we establish the necessary and sufficient conditions under which two functions can be separated by h-convex function, in the case, when the function h is multiplicative. This result is related to the theorem on separation by convex functions presented in Baron, K. Matkowski, J. Nikodem, K. [A sandwich with
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Petrović-Type Inequalities for Harmonic h-convex Functions
Journal of Function Spaces, 2020 In the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and ...
Imran Abbas Baloch, Yu-Ming Chu
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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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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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