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Faisal Nawaz
Department of Mathematics, Dawood University of Engineering and Technology, New M.A. Jinnah Road, Karachi 74800, Pakistan
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Some Remarks on Results Related to ∇-Convex Function Asif Raza Khan; Faraz Mehmood; Faisal Nawaz; Aamna Nazir
Journal of Mathematical and Fundamental Sciences Vol. 53 No. 1 (2021)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2021.53.1.5

Abstract

In the present article, we give new techniques for proving general identities of the Popoviciu type for discrete cases of sums for two dimensions using higher-order ∇-divided difference. Also, integral cases are deduced by different methods for differentiable functions of higher-order for two variables. These identities are a generalization of various previously established results. An application for the mean value theorem is also presented.
Co-Authors Aamna Nazir Asif Raza Khan Faraz Mehmood