SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

BAYRAKTAR, BAHTIYAR

SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

B. BAYRAKTAR (Uludağ Üniversitesi, Eğitim Fakültesi, Bursa, Türkiye)

TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics

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Yıl: 2020 Cilt: 10 Sayı: 3 Sayfa Aralığı: 625 - 637 Metin Dili: İngilizce İndeks Tarihi: 09-06-2021

SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Öz:

In this paper, we present new inequalities connected with fractional integralsfor twice differentiable functions derivatives which are (s, m)− convex functions. Toobtain this, integral inequalities were used classical inequalities as H¨older inequalitiyand power mean inequality.This results are related to the well-known integral inequalityof the Hermite-Hadamard type. Also some applications to special means are provided.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	BAYRAKTAR B (2020). SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. , 625 - 637.
Chicago	BAYRAKTAR BAHTIYAR SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. (2020): 625 - 637.
MLA	BAYRAKTAR BAHTIYAR SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. , 2020, ss.625 - 637.
AMA	BAYRAKTAR B SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. . 2020; 625 - 637.
Vancouver	BAYRAKTAR B SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. . 2020; 625 - 637.
IEEE	BAYRAKTAR B "SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS." , ss.625 - 637, 2020.
ISNAD	BAYRAKTAR, BAHTIYAR. "SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS". (2020), 625-637.

APA	BAYRAKTAR B (2020). SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 10(3), 625 - 637.
Chicago	BAYRAKTAR BAHTIYAR SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 10, no.3 (2020): 625 - 637.
MLA	BAYRAKTAR BAHTIYAR SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, vol.10, no.3, 2020, ss.625 - 637.
AMA	BAYRAKTAR B SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2020; 10(3): 625 - 637.
Vancouver	BAYRAKTAR B SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2020; 10(3): 625 - 637.
IEEE	BAYRAKTAR B "SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS." TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 10, ss.625 - 637, 2020.
ISNAD	BAYRAKTAR, BAHTIYAR. "SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS". TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 10/3 (2020), 625-637.