Izvorni znanstveni članak
https://doi.org/10.21857/mzvkptoj19
Generalized Hermite-Hadamard type inequalities for (α, η, γ, δ)-p convex function
Muhammad Bilal
; Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan
Silvestru Sever Dragomir
; Mathematics, College of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
Asif Raza Khan
; Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan
Sažetak
In this article, we would like to introduce another generalized class of convex functions which we call as (α, η, γ, δ)-p convex functions. This new class contains another two new classes namely, (α, η)-p convex functions of the 1st and 2nd kinds. Further, we also generalize some results related to famous Hermite-Hadamard type inequality stated in [2] for the aforementioned class of functions with distinct techniques. Hence various existed and new results would be captured as special case of our obtained results. Moreover, application to midpoint formula has also been established.
Ključne riječi
Hermite-Hadamard type inequities; p-convex functions; (α, η)-convex function of the 1st kind; (α, η)-convex function of the 2nd kind; (α, η, γ, δ)-convex function
Hrčak ID:
326520
URI
Datum izdavanja:
9.1.2025.
Posjeta: 0 *