ON NEW GENERALIZED FRACTIONAL MIDPOINT-TYPE INEQUALITIES FOR CO-ORDINATED CONVEX AND CO-ORDINATED CONCAVE FUNCTIONS

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Yildirim S. K., Kara H., Budak H., Yildirim H.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, sa.2, ss.407-428, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2023
• Doi Numarası: 10.22190/fumi220605027y
• Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.407-428
• Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we firstly obtain a new generalized identity for twice partially differentiable functions Riemann-Liouville fractional integrals. Then, using this equality, we obtain some midpoint-type inequalities for co-ordinated convex and co-ordinated concave functions. We also show that our result generalizes the give several inequalities obtained in earlier works.