Results 21 to 30 of about 127,882 (296)
The Perturbed Median Principle for Integral Inequalities with Applications [PDF]
, 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
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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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BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN
Barekeng, 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 ï›a, bï is the limit function also R-integralable at ï›a, bï.
Venn Y. I. Ilwaru +2 more
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Vanishing of the integral of the Hurwitz zeta function [PDF]
, 2002 A proof is given that the improper Riemann integral of δ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with R(s) < 1.
Broughan, Kevin A.
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A note on Riemann integrability [PDF]
International Journal of Mathematics and Mathematical Sciences, 1978 In this note we define Riemann integrabillty for real valued functions defined on a compact metric space accompanied by a finite Borel measure. If the measure of each open ball equals the measure of its corresponding closed ball, then a bounded function is Riemann integrable if and only if its set of points of discontinuity has measure zero.
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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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Henstock-Kurzweil Integral on [a,b]
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2011 The theory of the Riemann integral was not fully satisfactory. Many important functions do not have a Riemann integral. So, Henstock and Kurzweil make the new theory of integral.
Siti Nurul Afiyah
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A Lost Theorem: Definite Integrals in Asymptotic Setting [PDF]
, 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.
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Advances in Difference Equations, 2020 We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
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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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