Quantum analog of some trapezoid and midpoint type inequalities for convex functions
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, ss.456-480, 2022 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 71
- Basım Tarihi: 2022
- Doi Numarası: 10.31801/cfsuasmas.1009988
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.456-480
- Anahtar Kelimeler: Trapezoid inequality, convex function, q -integral, midpoint inequality, HERMITE-HADAMARD INEQUALITIES, DIFFERENTIABLE MAPPINGS, REAL NUMBERS
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
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.