Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex

SEZER, SEVDA

doi:10.33401/fujma.881979

Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex

Sevda BARUT (Akdeniz Üniversitesi, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü, Antalya, Türkiye)

Fundamental journal of mathematics and applications (Online)

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Yıl: 2021 Cilt: 4 Sayı: 2 Sayfa Aralığı: 88 - 99 Metin Dili: İngilizce DOI: 10.33401/fujma.881979 İndeks Tarihi: 29-07-2022

Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex

Öz:

In this paper, we extend some estimates of a Hermite-Hadamard type inequality for functions whose absolute values of the first derivatives are $p$-convex. By means of the obtained inequalities, some bound functions involving beta functions and hypergeometric functions are derived as applications. Also, we suggest an upper bound for error in numerical integration of $p$-convex functions via composite trapezoid rule.

Anahtar Kelime: Hermite-Hadamard inequality $p$-convex function

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

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APA	SEZER S (2021). Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. , 88 - 99. 10.33401/fujma.881979
Chicago	SEZER SEVDA Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. (2021): 88 - 99. 10.33401/fujma.881979
MLA	SEZER SEVDA Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. , 2021, ss.88 - 99. 10.33401/fujma.881979
AMA	SEZER S Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. . 2021; 88 - 99. 10.33401/fujma.881979
Vancouver	SEZER S Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. . 2021; 88 - 99. 10.33401/fujma.881979
IEEE	SEZER S "Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex." , ss.88 - 99, 2021. 10.33401/fujma.881979
ISNAD	SEZER, SEVDA. "Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex". (2021), 88-99. https://doi.org/10.33401/fujma.881979

APA	SEZER S (2021). Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. Fundamental journal of mathematics and applications (Online), 4(2), 88 - 99. 10.33401/fujma.881979
Chicago	SEZER SEVDA Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. Fundamental journal of mathematics and applications (Online) 4, no.2 (2021): 88 - 99. 10.33401/fujma.881979
MLA	SEZER SEVDA Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. Fundamental journal of mathematics and applications (Online), vol.4, no.2, 2021, ss.88 - 99. 10.33401/fujma.881979
AMA	SEZER S Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. Fundamental journal of mathematics and applications (Online). 2021; 4(2): 88 - 99. 10.33401/fujma.881979
Vancouver	SEZER S Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex. Fundamental journal of mathematics and applications (Online). 2021; 4(2): 88 - 99. 10.33401/fujma.881979
IEEE	SEZER S "Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex." Fundamental journal of mathematics and applications (Online), 4, ss.88 - 99, 2021. 10.33401/fujma.881979
ISNAD	SEZER, SEVDA. "Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex". Fundamental journal of mathematics and applications (Online) 4/2 (2021), 88-99. https://doi.org/10.33401/fujma.881979