Results 11 to 20 of about 5,231 (286)
Inequalities for interval-valued Riemann diamond-alpha integrals
Journal 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
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Equivalences of Riemann Integral Based on p-Norm
Mathematics, 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
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Hermite-Jensen-Mercer type inequalities via Ψ-Riemann-Liouville k-fractional integrals
AIMS 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
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On new Milne-type inequalities and applications
Journal 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
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Fractal 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
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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
Mathematics, 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
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Weighted Hermite–Hadamard integral inequalities for general convex functions
Mathematical 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
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On the theory of Riemann's integrals [PDF]
Mathematische Annalen, 1894 n ...
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The Multiple K-Riemann Integral
Abstract and Applied Analysis, 2021 The aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn.
Oussama Kabbouch, Mustapha Najmeddine
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Integral inequalities for some convex functions via generalized fractional integrals
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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