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   Articles with "polynomial convex" as a keyword



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Bounds for the Remainder in Simpson’s Inequality vian-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

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recommendations! Published in 2020 at "Journal of Mathematics"

DOI: 10.1155/2020/4189036

Abstract: The goal of this paper is to derive some new variants of Simpson’s inequality using the class of - polynomial convex functions of higher order. To obtain the main results of the paper, we first… read more here.

Keywords: polynomial convex; convex functions; higher order; simpson inequality ... See more keywords

Generalized strongly n-polynomial convex functions and related inequalities

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recommendations! Published in 2024 at "Boundary Value Problems"

DOI: 10.1186/s13661-024-01838-2

Abstract: This paper focuses on introducing and examining the class of generalized strongly n -polynomial convex functions. Relationships between these functions and other types of convex functions are explored. The Hermite–Hadamard inequality is established for generalized… read more here.

Keywords: polynomial convex; generalized strongly; strongly polynomial; convex functions ... See more keywords

n-fractional polynomial p-convex functions and related inequalities

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recommendations! Published in 2024 at "Filomat"

DOI: 10.2298/fil2420259s

Abstract: In this paper, we introduce a new class of convex functions called n-fractional polynomial p-convex functions. We discuss some properties and present Hermite-Hadamard type inequalities for this generalization. Also when p =-1, our results establish… read more here.

Keywords: polynomial convex; inequalities fractional; convex functions; functions related ... See more keywords

Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

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recommendations! Published in 2022 at "Axioms"

DOI: 10.3390/axioms11120727

Abstract: Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum… read more here.

Keywords: fractional integral; polynomial convex; parameterized quantum; integral inequalities ... See more keywords