Hermite-Hadamard-Fejer Type Inequalities for p-Convex Functions via Fractional Integrals
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.42, ss.2079-2089, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s40995-017-0352-4
- Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2079-2089
- Anahtar Kelimeler: Hermite-Hadamard inequalities, Hermite-Hadamard-Fejer inequalities, Fractional integrals, Convex functions, Harmonically convex functions, p-Convex functions, DIFFERENTIABLE MAPPINGS
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, firstly, Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.