(m1, m2)-Geometric Arithmetically Convex Functions and Related Inequalities

Kadakal, Mahir

doi:10.36753/mathenot.685624

(m1, m2)-Geometric Arithmetically Convex Functions and Related Inequalities

MakaleYalnız künye

Özet

In this manuscript, we introduce and study the concept of (m1, m2)-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of (m1, m2)-GA-convex functions by using both well-known power mean and Hölder’s integral inequalities.

Anahtar Kelimeler

(m<sub>1</sub>, m<sub>2</sub>)-GA convex function Convex function Hermite-Hadamard inequality m-convex function

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/bayburt/13242Resmi atıflarda kullanılan kalıcı adres

DOI

https://doi.org/10.36753/mathenot.685624Yayıncı resmi DOI adresi

İndeks kayıtları

Scopus

Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.

Atıflar

Scopus: 2
OpenAlex: 0

Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Kadakal, Mahir
dc.date.accessioned	2026-10-29T19:10:41.500514300Z
dc.date.available	2026-10-29T19:10:41.500514300Z
dc.date.issued	2022
dc.description.abstract	In this manuscript, we introduce and study the concept of (m1, m2)-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of (m1, m2)-GA-convex functions by using both well-known power mean and Hölder’s integral inequalities.
dc.identifier.doi	10.36753/mathenot.685624
dc.identifier.endpage	71
dc.identifier.issn	2147-6268
dc.identifier.issue	2
dc.identifier.scopus	2-s2.0-85204967982
dc.identifier.startpage	63
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/bayburt/13242
dc.identifier.volume	10
dc.language.iso	en
dc.publisher	Murat TOSUN
dc.relation.ispartof	Mathematical Sciences and Applications E-Notes
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	(m<sub>1</sub>, m<sub>2</sub>)-GA convex function
dc.subject	Convex function
dc.subject	Hermite-Hadamard inequality
dc.subject	m-convex function
dc.title	(m1, m2)-Geometric Arithmetically Convex Functions and Related Inequalities
dc.type	Article
rdl.citation.openalex	0
rdl.citation.scopus	2
rdl.oa.status	closed
rdl.source.index	SCOPUS