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Your search keyword '"(p, q)-integration"' showing total 2 results
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2 results on '"(p, q)-integration"'

1. Post-quantum trapezoid type inequalities

Author

Mehmet Kunt, Sever S Dragomir, İmdat İşcan, Muhammad Latif, Giresun Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, and İşcan, İmdat

Subjects
(p, q)-integral inequalities, General Mathematics, q-derivative, q)-integration, Mathematics::Classical Analysis and ODEs, Type (model theory), Convexity, Combinatorics, Identity (mathematics), Hermite–Hadamard inequality, q-integral inequalities, Differentiable function, Mathematics, q)-derivative, convexity, hermite-hadamard inequality, lcsh:Mathematics, Regular polygon, (p, lcsh:QA1-939, (p, q)-derivative, q)-integral inequalities, (p, q)-integration, Convex function, quasi-convexity
Abstract

In this study, the assumption of being differentiable for the convex function f in the (p, q)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (p, q)-Hermite-Hadamard inequality is proved. By using established identity, some (p, q)-trapezoid integral inequalities for convex and quasi-convex functions are obtained. The presented results in this work extend some results from the earlier research.

Published
2020
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2. (p, q)-Hermite-Hadamard inequalities and (p, q)-estimates for midpoint type inequalities via convex and quasi-convex functions

Author

Kunt, Mehmet, İşcan, İmdat, Alp, Necmettin, Sarıkaya, Mehmet Zeki, and Belirlenecek

Subjects
(p, q)-integral inequalities, Convexity, Hermite-Hadamard inequality, (p, q)-derivative, Mathematics::Classical Analysis and ODEs, Quasi-convexity, Midpoint type inequality, q-integral inequalities, (p, q)-integration
Abstract

Kunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591 WOS: 000445335600005 In this paper, we prove the correct (p, q)-Hermite-Hadamard inequality, some new (p, q)-Hermite-Hadamard inequalities, and generalized (p, q)-Hermite-Hadamard inequality. By using the left hand part of the correct (p, q)-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some (p, q)-midpoint type integral inequalities through (p, q)-differentiable convex and (p, q)-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works.

Published
2018

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