Hermite-Hadamard Like Inequalities for Exponentially Subadditive Functions via Fractional Integrals

Abbas, S.; Ali, M.; Hanif, A.; Budak, HÜSEYİN

doi:10.47836/mjms.17.1.04

Hermite-Hadamard Like Inequalities for Exponentially Subadditive Functions via Fractional Integrals

Abbas S., Ali M. A., Hanif A., Budak H.

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, cilt.17, sa.1, ss.43-52, 2023 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 17 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.47836/mjms.17.1.04
Dergi Adı: MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
Sayfa Sayıları: ss.43-52
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Kocaeli Üniversitesi Adresli: Hayır

Özet

In this work, through the Riemann-Liouville fractional integrals, we give Hermite-Hadamard type inequalities for exponentially sub-additive functions. For the product of exponentially sub-additive functions, we present fractional integral inequalities. It is also shown that the results proved here are the refinements and extensions of several existing results in the field of Hermite-Hadamard like inequalities.