Novel analysis of hermite-hadamard type integral inequalities via generalized exponential type m-convex functions
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MDPI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The theory of convexity has a rich and paramount history and has been the interest of intense research for longer than a century in mathematics. It has not just fascinating and profound outcomes in different branches of engineering and mathematical sciences, it also has plenty of uses because of its geometrical interpretation and definition. It also provides numerical quadrature rules and tools for researchers to tackle and solve a wide class of related and unrelated problems. The main focus of this paper is to introduce and explore the concept of a new family of convex functions namely generalized exponential type m-convex functions. Further, to upgrade its numerical significance, we present some of its algebraic properties. Using the newly introduced definition, we investigate the novel version of Hermite-Hadamard type integral inequality. Furthermore, we establish some integral identities, and employing these identities, we present several new Hermite-Hadamard H-H type integral inequalities for generalized exponential type m-convex functions. These new results yield some generalizations of the prior results in the literature.
Açıklama
Anahtar Kelimeler
convex function, Holder's inequality, power-mean integral inequality, m-type convexity, exponential convex function
Kaynak
MATHEMATICS
WoS Q DeÄŸeri
Q1
Scopus Q DeÄŸeri
Cilt
10
Sayı
1
