Atıf İçin Kopyala
Ozdemir M. E., Butt S., BAYRAKTAR B., Nasir J.
AIMS MATHEMATICS, cilt.5, sa.4, ss.3906-3921, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
5
Sayı:
4
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Basım Tarihi:
2020
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Doi Numarası:
10.3934/math.2020253
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Dergi Adı:
AIMS MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.3906-3921
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Anahtar Kelimeler:
convex function, (alpha, s, m)-convex function, Hermite-Hadamard inequality, Riemann-Liouville fractional integrals, Holder's inequality, power mean inequality, Psi-Gamma functions, HERMITE-HADAMARD-TYPE, M)-CONVEX, (ALPHA, (S
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Bursa Uludağ Üniversitesi Adresli:
Evet
Özet
In this paper, we establish several new integral inequalities for (alpha, s, m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case. In order to obtain our results, we use classical inequalities such as Holder inequality, Holder-Iscan inequality and Power mean inequality. We formulate several bounds involving special functions like classical Euler-Gamma, Beta and Psi-Gamma functions. We also give some applications.