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Hadamard-type inequalities on the coordinates for $(h_1, h_2, h_3)$-preinvex functions

Zamrooda Jabeen|Danish Malik
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.09|한국수학논문집 (Korean Journal of Mathematics)|제32권 제3호|pp. 453-466

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참고문헌

키워드

ConvexityPreinvexity on the co-ordinates$s$-ConvexityHermite-Hadamard-Fejér type inequality$H$ function
주제분류수학

초록

In the present paper, we define the class of $(h_1, h_2, h_3)$-preinvex functions on co-ordinates and prove certain new Hermite-Hadamard and Fejér type inequalities for such mappings. As a consequence, we derive analogous Hadamard-type results on convex and s-convex functions in three co-ordinates. We also discuss some intriguing aspects of the associated $H$ function.

Abstract

In the present paper, we define the class of $(h_1, h_2, h_3)$-preinvex functions on co-ordinates and prove certain new Hermite-Hadamard and Fejér type inequalities for such mappings. As a consequence, we derive analogous Hadamard-type results on convex and s-convex functions in three co-ordinates. We also discuss some intriguing aspects of the associated $H$ function.

참고문헌 (13)

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  13. S. Varosanec, "On h-convexity", J. Math. Anal. Appl, 326(1), pp.303~311 (2007)[DOI]

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