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Some Properties and Inequalities for the h,s-Nonconvex Functions
Journal of Mathematics, 2020 The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang +3 more
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Advances in Difference Equations, 2021 In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li +4 more
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ON PARAMETRIZED HERMITE-HADAMARD TYPE INEQUALITIES [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In recent years, many results have been devoted to the well-known Hermite-Hadamard inequality. This inequality has many applications in the area of pure and applied mathematics. In this paper, our main aim is to give a parametrized inequality of the Hermite-Hadamard type and its applications to f-divergence measures and means.First, we prove the ...
Khan, Muhammad Adil, Khurshid, Yousaf
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Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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A Sharp Multidimensional Hermite–Hadamard Inequality [PDF]
International Mathematics Research Notices, 2020 Abstract Let $\Omega \subset {\mathbb{R}}^d $, $d \geq 2$, be a bounded convex domain and $f\colon \Omega \to{\mathbb{R}}$ be a non-negative subharmonic function. In this paper, we prove the inequality $$\begin{equation*} \frac{1}{|\Omega|}\int_{\Omega} f(x)\, \textrm{d}x \leq \frac{d}{|\partial\Omega|}\int_{\partial\Omega} f(x ...
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On the Hermite-Hadamard type inequalities [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Chang-Jian +2 more
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A refinement of the left-hand side of Hermite-Hadamard inequality for simplices [PDF]
, 2015 In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on ...
Nowicka, Monika, Witkowski, Alfred
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Inequalities of Hermite-Hadamard Type [PDF]
Moroccan Journal of Pure and Applied Analysis, 2015 AbstractSome inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
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Refinements of quantum Hermite-Hadamard-type inequalities [PDF]
Open Mathematics, 2021 Abstract In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak, HÜSEYİN +3 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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