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2 results on '"q)-integration"'

1. Post-quantum trapezoid type inequalities

Author

Muhammad Amer Latif, Mehmet Kunt, Sever Silvestru Dragomir, and İmdat İşcan

Subjects
hermite-hadamard inequality, q-integral inequalities, (p, q)-integral inequalities, q)-derivative, q)-integration, convexity, quasi-convexity, Mathematics, QA1-939
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
Full Text
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2. 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
Full Text
View/download PDF

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