GENERALIZED n-POLYNOMIAL P- FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS

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Tarih

2024

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Dergi ISSN

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Yayıncı

Editura Bibliotheca-Bibliotheca Publ House

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we introduce the notion of generalized n-polynomial Pfunction. We explore some algebraic properties of this function class. Additionally, we establish a new trapezium type inequality for this generalized class of functions and derive several refinements of the trapezium type inequality for functions whose first derivative in absolute value at a certain power is generalized n-polynomial P-function. Finally, we conclude our paper by exploring some applications of the results we have obtained in the context of special means. Our novel findings generalize previously known results in the literature.

Açıklama

Anahtar Kelimeler

Convex function, n-polynomial harmonically convexity, generalized n-polynomial harmonically convexity, Hermite-Hadamard inequality, integral inequalities

Kaynak

Journal of Science And Arts

WoS Q Değeri

Q4

Scopus Q Değeri

Cilt

Sayı

4

Künye