Results 11 to 20 of about 130,230 (316)

On new Milne-type inequalities and applications

open access: yesJournal of Inequalities and Applications, 2023
Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption.
Paul Bosch   +2 more
doaj   +1 more source

A compactness theorem for complete Ricci shrinkers [PDF]

open access: yes, 2011
We prove precompactness in an orbifold Cheeger-Gromov sense of complete gradient Ricci shrinkers with a lower bound on their entropy and a local integral Riemann bound. We do not need any pointwise curvature assumptions, volume or diameter bounds.
B. Chow   +31 more
core   +4 more sources

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

open access: yesAxioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq   +2 more
doaj   +1 more source

Hermite-Jensen-Mercer type inequalities via Ψ-Riemann-Liouville k-fractional integrals

open access: yesAIMS Mathematics, 2020
Integral inequalities involving various fractional integral operators are used to solve many fractional differential equations. In this paper, authors prove some Hermite-Jensen-Mercer type inequalities using Ψ-Riemann-Liouville k-Fractional integrals via
Saad Ihsan Butt   +4 more
doaj   +1 more source

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

open access: yesMathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj   +1 more source

The Perturbed Median Principle for Integral Inequalities with Applications [PDF]

open access: yes, 2009
In this paper a perturbed version of the Median Principle introduced by the author in 'The median principle for inequalities and applications' is developed.
Dragomir, Sever S
core   +1 more source

BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN

open access: yesBarekeng, 2012
Riemann Integral is integral concept using the sum of lower Riemann and upper Riemann. The sufficient condition for the function sequence which is R-integralable at a, b is the limit function also R-integralable at a, b.
Venn Y. I. Ilwaru   +2 more
doaj   +1 more source

Weighted Hermite–Hadamard integral inequalities for general convex functions

open access: yesMathematical Biosciences and Engineering, 2023
In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the $ k $-Riemann ...
Péter Kórus   +2 more
doaj   +1 more source

Integral inequalities for some convex functions via generalized fractional integrals

open access: yesJournal 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
doaj   +1 more source

A Lost Theorem: Definite Integrals in Asymptotic Setting [PDF]

open access: yes, 2008
We present a simple yet rigorous theory of integration that is based on two axioms rather than on a construction involving Riemann sums. With several examples we demonstrate how to set up integrals in applications of calculus without using Riemann sums ...
Cavalcante, Ray, Todorov, Todor D.
core   +3 more sources

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