Results 111 to 120 of about 4,997 (220)
On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
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A Review of Hermite-Hadamard Inequality
, 2022 In this review we present the most important lines of development, around the well-known Hermite-Hadamard Inequality, as well as some open problems.In this review we present the most important lines of development, around the well-known Hermite-Hadamard Inequality, as well as some open problems.
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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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Extended Hermite–Hadamard inequalities
AIMS Mathematics<p>In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.</p>
Lakhlifa Sadek, Ali Algefary
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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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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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Hermite-Hadamard's inequalities for conformable fractional integrals
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019 In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier
Mehmet Zeki Sarıkaya +4 more
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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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