Results 11 to 20 of about 47,370 (280)
On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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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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The Jensen and Hermite-Hadamard inequality on the triangle [PDF]
Journal of Mathematical Inequalities, 2017 We study the functional forms of the most important inequalities concerning convex functions on the triangle. Our intension is to construct the functional form which implies the integral and discrete form of the Jensen inequality, the Fejér, and so the ...
Zlatko Pavić
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On weighted generalization of the Hermite-Hadamard inequality [PDF]
Mathematical Inequalities & Applications, 2015 The results obtained in this paper are a correction of the main results obtained in [14], for which we also give an alternative proof and improvement. We also study some new monotonic conditions under which various generalizations of the Hermite-Hadamard
R. Jaksic +2 more
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Some refinements of Hermite-Hadamard inequality and an open problem [PDF]
, 2016 We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration.
S. Simić
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A refinement of the right-hand side of the Hermite–Hadamard inequality for simplices [PDF]
, 2015 We establish a new refinement of the right-hand side of the Hermite–Hadamard inequality for simplices, based on the average values of a convex function over the faces of a simplex and over the values at their barycenters.
M. Nowicka, A. Witkowski
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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.
europepmc +5 more sources
Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
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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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