Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus [PDF]
The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its ...
Hossam A. Nabwey +3 more
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Some Generalizations of Mercer inequality and its operator extensions
We study the Mercer inequality and its operator extension for superquadratic functions. In particular, we give a more general form of the Mercer inequality by replacing some constants by positive operators.
Kian, Mohsen, Mazraj, Zainab Peymani
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Some Hermite–Hadamard inequalities involving weighted integral operators via (h,s,m)-convex functions [PDF]
, 2023 Kórus Péter, Nápoles Valdés Juan E.
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A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]
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 Pachpatte-type inequalities involving a variety
Asif Ali Shaikh +2 more
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Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets
Fractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improving convex inequalities and their generalisations.
Olanipekun, Peter Olamide
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This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for m-convex functions.
Özdemir, M. Emin
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Novel extensions of k-harmonically convex functions and their applications in information science. [PDF]
PLoS OneFahad A, Furuichi S, Ali Z, Wang Y.
europepmc +1 more source
Fractal perspective of superquadratic functions with generalized probability estimations. [PDF]
PLoS OneButt SI, Khan D, Seol Y.
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Stable Interpolation with Isotropic and Anisotropic Gaussians Using Hermite Generating Function [PDF]
, 2019 Kormann, K., Lasser, C., Yurova, A.
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New Jensen-type integral inequalities via modified (h, m)-convexity and their applications [PDF]
, 2023 Bayraktar Bahtiyar +2 more
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