Results 1 to 10 of about 7,092,593 (125)
New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz +5 more
wiley +1 more source
On generalizations of some integral inequalities via lidstone green functions
Mathematical and Computer Modelling of Dynamical SystemsIn this paper, we generalize the classical Hermite-Hadamard, Ostrowski, and Simpson type integral inequalities by using Lidstone interpolation polynomials and their associated Green functions.
Rubayyi T. Alqahtani +1 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar +2 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
wiley +1 more source
On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions
Journal of New Theory, 2021 In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al.
Assia Azaizia, Badreddine Meftah
doaj
Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
doaj +1 more source
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
doaj +1 more source
A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
International Journal of Analysis and Applications, 2018 The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
doaj +2 more sources
Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities. [PDF]
Int J Appl Comput Math, 2022 Nazeer N, Asjad MI, Azam MK, Akgül A.
europepmc +1 more source
Quantum Estimates for Different Type Intequalities through Generalized Convexity. [PDF]
Entropy (Basel), 2022 Almutairi OB.
europepmc +1 more source