Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals
Journal of Mathematical Analysis and Applications, 2017 In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej r type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals into a single form.
Udita N. Katugampola, Hua Chen
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Fractal and FractionalThis paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
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Properties of Some Sequences of Mappings Associated to the Hermite-Hadamard Inequality [PDF]
, 2002 Sever S Dragomir
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On a problem of T. Szostok concerning the Hermite–Hadamard inequalities [PDF]
Journal of Mathematical Analysis and Applications, 2019 In the present paper we solve a problem posed by Tomasz Szostok who asked about the solutions $f$ and $F$ to the system of inequalities $$ f\Big(\frac{x+y}{2}\Big)\leq \frac{F(y)-F(x)}{y-x}\leq \frac{f(x)+f(y)}{2}. $$ We show that $f$ and $F$ are the solutions to the above system of inequalities if and only if $f$ is a continuous convex function and $F$
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On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions
Mathematics, 2019 In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam +3 more
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On extensions and refinements of Hermite-Hadamard inequalities for convex functions [PDF]
, 2003 Liang-Cheng Wang
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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS One, 2023 Guo J, Zhu X, Li W, Li H.
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A Sequence of Mappings Associated with the Hermite-Hadamard Inequalities and Applications [PDF]
, 2004 Sever S Dragomir
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AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY THROUGH SUBHARMONIC FUNCTIONS* [PDF]
, 2007 Mihai Mihăilescu +1 more
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Generalized strongly n-polynomial convex functions and related inequalities
Boundary Value ProblemsThis paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored.
Serap Özcan +3 more
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