Quantum analog of some trapezoid and midpoint type inequalities for convex functions
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.71, pp.456-480, 2022 (ESCI, TRDizin)
- Publication Type: Article / Article
- Volume: 71
- Publication Date: 2022
- Doi Number: 10.31801/cfsuasmas.1009988
- Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Page Numbers: pp.456-480
- Keywords: Trapezoid inequality, convex function, q -integral, midpoint inequality, HERMITE-HADAMARD INEQUALITIES, DIFFERENTIABLE MAPPINGS, REAL NUMBERS
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper a new quantum analog of Hermite-Hadamard inequality is presented, and based on it, two new quantum trapezoid and midpoint identities are obtained. Moreover, the quantum analog of some trapezoid and midpoint type inequalities are established.