Integral inequalities for some convex functions via generalized fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
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Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]
Journal of Inequalities and Applications, 2017 Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal +2 more
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On Upper Estimations of Hermite–Hadamard Inequalities
MathematicsConvex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
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Some generalizations of Hermite-Hadamard type inequalities. [PDF]
Springerplus, 2016 Some generalizations and refinements of Hermite-Hadamard type inequalities related to [Formula: see text]-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.
Rostamian Delavar M, De La Sen M.
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Old and new on the Hermite-Hadamard inequality.
Real Analysis Exchange, 2004 This paper is a survey of the results grown up from the Hermite-Hadamard inequality. Both, old and new results are presented, complemented and discussed within this framework. The Hermite-Hadamard inequality is presented in connection with subdifferentials and quadrature formulae; some improvements of it are discussed. Then a short account on classical
Constantin P. Niculescu, L. Persson
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Hermite?Hadamard inequalities for generalized convex functions
Aequationes mathematicae, 2005 Let \(\mathbf{\omega}=(\omega_{1},\ldots,\omega_{n})\) be a Tchebychev system on an interval \([a,b].\) A function \(f:[a,b]\rightarrow\mathbb{R}\) is called generalized \(n\)-convex with respect to \(\mathbf{\omega}\) if for all \(x_{0}
M. Bessenyei, Zsolt P�les
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Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of MathematicsConvex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali +3 more
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Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. [PDF]
Springerplus, 2015 Wu SH, Sroysang B, Xie JS, Chu YM.
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Generalized proportional fractional integral Hermite–Hadamard’s inequalities [PDF]
Advances in Difference Equations, 2021 AbstractThe theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fractional calculus has been found to be the best for modeling physical and engineering processes.
Tariq A. Aljaaidi +5 more
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The Hermite-Hadamard inequality for $ s $-Convex functions in the third sense
AIMS Mathematics, 2021 In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented.
Sevda Sezer
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