2008
DOI: 10.1017/s0004972708000063
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APPROXIMATING THE STIELTJES INTEGRAL FOR (Φ,Φ)-Lipschitzian INTEGRATORS

Abstract: Approximations for the Stieltjes integral with (ϕ, )-Lipschitzian integrators are given. Applications for the Riemann integral of a product and for the generalized trapezoid and Ostrowski inequalities are also provided.2000 Mathematics subject classification: 26D15, 26A42, 41A55.

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“…Mathematical inequalities and convexity theory play a key role in understanding a range of problems in various fields of mathematics and the other branches of sciences such as economics and engineering. Many articles have been written by a number of mathematicians on convex functions and inequalities for their different classes, using, for example, the last articles [1][2][3][4][5][6] and the references in these papers.…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical inequalities and convexity theory play a key role in understanding a range of problems in various fields of mathematics and the other branches of sciences such as economics and engineering. Many articles have been written by a number of mathematicians on convex functions and inequalities for their different classes, using, for example, the last articles [1][2][3][4][5][6] and the references in these papers.…”
Section: Introductionmentioning
confidence: 99%