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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 570=30, 2026.

Izvorni znanstveni članak

https://doi.org/10.21857/ypn4oc5739

Novel variants of Hermite-Hadamard inequalities for (alpha,eta)-convex functions of 1st and 2nd kinds

Muhammad Bilal ; Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan
Asif R. Khan ; Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan

Puni tekst: engleski pdf 566 Kb

str. 93-109

preuzimanja: 88

citiraj

Sažetak

In this article, we aim to present generalized results related to the well-known Hermite-Hadamard dual inequality for two distinct types of \((\alpha, \eta)\) convex functions, employing various techniques such as Hölder's and Power mean inequalities. Consequently, both established and new results will be encompassed as special cases. Additionally, we intend to explore some relationships between our findings with well-known special means and trapezoidal formula.

Ključne riječi

Hermite-Hadamard inequalities; (alpha,eta)-convex functions of the 1 kind; (alpha,eta)-convex functions of the 2nd kind; Hö lder's integral inequality; power mean integral inequality

Hrčak ID:

344364

URI

https://hrcak.srce.hr/344364

Datum izdavanja:

10.2.2026.

Posjeta: 217 *