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Some inequalities for geometrically-arithmetically h-convex functions [PDF]
Creative Mathematics and Informatics, 2014 In this paper, we consider a class of geometrically convex function which is called geometrically-arithmetically h-convex function. Some inequalities of Hermite-Hadamard type for geometrically-arithmetically h-convex functions are derived. Several special cases are discussed.
MUHAMMAD ASLAM NOOR +2 more
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Some inequalities for cr-log-h-convex functions
Journal of Inequalities and Applications, 2022 AbstractThe main purpose of this paper is to study certain inequalities forcr-log-h-convex functions with an interval value. To this end, we first give a definition ofcr-log-h-convexity of interval-valued functions under thecr-order and study some properties of such functions.
Wei Liu +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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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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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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Bernstein-Doetsch type results for h-convex functions [PDF]
Mathematical Inequalities & Applications, 2011 In this paper we define the so-called (k; h)-convex function which is a natural generalization of the usual convexity, the s-convexity in the first and second sense, the h-convexity, the Godunova-Levin functions and the P-functions. Some regularity and Bernstein-Doetsch type results are investigated for (k; h)-convex functions.
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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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Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions
Journal of Function Spaces, 2022 The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we
Putian Yang, Shiqing Zhang
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Some inequalities for strongly $(p,h)$-harmonic convex functions
Karpatsʹkì Matematičnì Publìkacìï, 2019 In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
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