Results 11 to 20 of about 127,882 (296)

Equivalences of Riemann Integral Based on p-Norm

open access: yesMathematics, 2018
In the usual Riemann integral setting, the Riemann norm or a mesh is adopted for Riemann sums. In this article, we use the p-norm to define the p-integral and show the equivalences between the Riemann integral and the p-integral.
Ray-Ming Chen
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

SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES

open access: yesBarekeng, 2007
If is limited and []ℜ→baf,:[]ℜ→ba,:α Monotone increase in [, is Riemann-Stieltjes integral able to α on ] ba,[]ba, simply written by[]αRSf∈ if . With JI=()()xdxfIbaα∫= is called Riemann Stieltjes lower integral f to α and ()()xdxfJbaα∫
Francis Y. Rumlawang, Harimanus Batkunde
doaj   +1 more source

SIFAT-SIFAT DASAR INTEGRAL HENSTOCK

open access: yesBarekeng, 2012
This paper was a review about theory of Henstock integral. Riemann gave a definition of integral based on the sum of the partitions in Integration area (interval [a, b]). Those partitions is a  -positive constant.
Lexy J. Sinay
doaj   +1 more source

Inequalities for interval-valued Riemann diamond-alpha integrals

open access: yesJournal of Inequalities and Applications, 2023
We propose the concept of Riemann diamond-alpha integrals for time scales interval-valued functions. We first give the definition and some properties of the interval Riemann diamond-alpha integral that are naturally investigated as an extension of ...
Martin Bohner   +3 more
doaj   +1 more source

Partially Explore the Differences and Similarities between Riemann-Liouville Integral and Mellin Transform

open access: yesFractal and Fractional, 2022
At present many researchers devote themselves to studying the relationship between continuous fractal functions and their fractional integral. But little attention is paid to the relationship between Mellin transform and fractional integral.
Zhibiao Zhou, Wei Xiao, Yongshun Liang
doaj   +1 more source

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 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

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