Hermite-Hadamard-type inequalities for generalized trigonometrically and hyperbolic ρ-convex functions in two dimension

In this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions , where and is an open subset of . We also obtain a characterization of the set . Notice that in the one-dimensional case, if (an open interval of ) and , , then (resp. ) reduces to the class of functio...

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Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Vol. 22; no. 1; pp. 171 - 215
Main Authors: Dragomir, Silvestru Sever, Jleli, Mohamed, Samet, Bessem
Format: Journal Article
Language:English
Published: Warsaw De Gruyter 01.01.2024
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:
26A51
26B25
26D15
35A23
Bessel functions
convex functions
Hermite-Hadamard-type inequalities
hyperbolic
hyperbolic ρ-convex functions
Inequalities
trigonometrically
trigonometrically ρ-convex functions
ISSN:2391-5455, 2391-5455
Online Access:Get full text
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Summary:In this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions , where and is an open subset of . We also obtain a characterization of the set . Notice that in the one-dimensional case, if (an open interval of ) and , , then (resp. ) reduces to the class of functions such that is trigonometrically -convex (resp. hyperbolic -convex) on
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2024-0028