The Hermite-Hadamard inequalities for $p$-convex functions

Adilov, Gabil; Eken, Zeynep; KEMALI, SERAP; TINAZTEPE, GÜLTEKIN

doi:10.15672/hujms.775508

The Hermite-Hadamard inequalities for $p$-convex functions

Zeynep Eken, (Akdeniz Üniversitesi, Eğitim Fakültesi, Antalya, Türkiye)

Serap Kemali, (Akdeniz Üniversitesi, Teknik Bilimler Meslek Yüksekokulu, Antalya, Türkiye)

Gültekin Tınaztepe, (Akdeniz Üniversitesi, Teknik Bilimler Meslek Yüksekokulu, Antalya, Türkiye)

Gabil Adilov (Akdeniz Üniversitesi, Eğitim Fakültesi, Antalya, Türkiye)

Hacettepe Journal of Mathematics and Statistics

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Yıl: 2021 Cilt: 50 Sayı: 5 Sayfa Aralığı: 1268 - 1279 Metin Dili: İngilizce DOI: 10.15672/hujms.775508 İndeks Tarihi: 29-07-2022

The Hermite-Hadamard inequalities for $p$-convex functions

Öz:

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown. Some inequalities for these functions are expressed.

Anahtar Kelime: p-Convex functions Convex functions Convex set Hermite-Hadamard Inequality

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

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APA	Eken Z, KEMALI S, TINAZTEPE G, Adilov G (2021). The Hermite-Hadamard inequalities for $p$-convex functions. , 1268 - 1279. 10.15672/hujms.775508
Chicago	Eken Zeynep,KEMALI SERAP,TINAZTEPE GÜLTEKIN,Adilov Gabil The Hermite-Hadamard inequalities for $p$-convex functions. (2021): 1268 - 1279. 10.15672/hujms.775508
MLA	Eken Zeynep,KEMALI SERAP,TINAZTEPE GÜLTEKIN,Adilov Gabil The Hermite-Hadamard inequalities for $p$-convex functions. , 2021, ss.1268 - 1279. 10.15672/hujms.775508
AMA	Eken Z,KEMALI S,TINAZTEPE G,Adilov G The Hermite-Hadamard inequalities for $p$-convex functions. . 2021; 1268 - 1279. 10.15672/hujms.775508
Vancouver	Eken Z,KEMALI S,TINAZTEPE G,Adilov G The Hermite-Hadamard inequalities for $p$-convex functions. . 2021; 1268 - 1279. 10.15672/hujms.775508
IEEE	Eken Z,KEMALI S,TINAZTEPE G,Adilov G "The Hermite-Hadamard inequalities for $p$-convex functions." , ss.1268 - 1279, 2021. 10.15672/hujms.775508
ISNAD	Eken, Zeynep vd. "The Hermite-Hadamard inequalities for $p$-convex functions". (2021), 1268-1279. https://doi.org/10.15672/hujms.775508

APA	Eken Z, KEMALI S, TINAZTEPE G, Adilov G (2021). The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics, 50(5), 1268 - 1279. 10.15672/hujms.775508
Chicago	Eken Zeynep,KEMALI SERAP,TINAZTEPE GÜLTEKIN,Adilov Gabil The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics 50, no.5 (2021): 1268 - 1279. 10.15672/hujms.775508
MLA	Eken Zeynep,KEMALI SERAP,TINAZTEPE GÜLTEKIN,Adilov Gabil The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics, vol.50, no.5, 2021, ss.1268 - 1279. 10.15672/hujms.775508
AMA	Eken Z,KEMALI S,TINAZTEPE G,Adilov G The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics. 2021; 50(5): 1268 - 1279. 10.15672/hujms.775508
Vancouver	Eken Z,KEMALI S,TINAZTEPE G,Adilov G The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics. 2021; 50(5): 1268 - 1279. 10.15672/hujms.775508
IEEE	Eken Z,KEMALI S,TINAZTEPE G,Adilov G "The Hermite-Hadamard inequalities for $p$-convex functions." Hacettepe Journal of Mathematics and Statistics, 50, ss.1268 - 1279, 2021. 10.15672/hujms.775508
ISNAD	Eken, Zeynep vd. "The Hermite-Hadamard inequalities for $p$-convex functions". Hacettepe Journal of Mathematics and Statistics 50/5 (2021), 1268-1279. https://doi.org/10.15672/hujms.775508