Quantum analog of some trapezoid and midpoint type inequalities for convex functions

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Atıf İçin Kopyala

Baidar A., Kunt M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, ss.456-480, 2022 (ESCI)

• 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.