Some Novel Inequalities for LR-(k,h-m)-p Convex Interval Valued Functions by Means of Pseudo Order Relation

Autor:	Vuk Stojiljković, Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby, Stojan Radenović
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	convex set-valued functions left–right-(k h-m)-p-convex set-valued functions Katugampola noninteger integral operators Hermite–Hadamard inequality Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 6, Iss 12, p 726 (2022)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract6120726
Popis:	In this paper, a new type of convexity is defined, namely, the left–right-(k,h-m)-p IVM (set-valued function) convexity. Utilizing the definition of this new convexity, we prove the Hadamard inequalities for noninteger Katugampola integrals. These inequalities generalize the noninteger Hadamard inequalities for a convex IVM, (p,h)-convex IVM, p-convex IVM, h-convex, s-convex in the second sense and many other related well-known classes of functions implicitly. An apt number of numerical examples are provided as supplements to the derived results.
Databáze:	Directory of Open Access Journals
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