Next Article in Journal
Conformal and Geodesic Mappings onto Some Special Spaces
Next Article in Special Issue
A New Gronwall–Bellman Inequality in Frame of Generalized Proportional Fractional Derivative
Previous Article in Journal
Some New Inequalities for Dual Continuous g-Frames
Previous Article in Special Issue
Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions
Article

Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

1
Department of Mathematics, Longyan University, Longyan 364012, China
2
Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 663; https://doi.org/10.3390/math7080663
Received: 16 June 2019 / Revised: 19 July 2019 / Accepted: 22 July 2019 / Published: 24 July 2019
(This article belongs to the Special Issue Inequalities)
The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder. Our results improve several results obtained in earlier literatures. As an application, the result is used for deriving a new fractional inequality. View Full-Text
Keywords: majorization inequality; twice differentiable convex functions; refined inequality; Taylor theorem majorization inequality; twice differentiable convex functions; refined inequality; Taylor theorem
MDPI and ACS Style

Wu, S.; Khan, M.A.; Haleemzai, H.U. Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder. Mathematics 2019, 7, 663. https://doi.org/10.3390/math7080663

AMA Style

Wu S, Khan MA, Haleemzai HU. Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder. Mathematics. 2019; 7(8):663. https://doi.org/10.3390/math7080663

Chicago/Turabian Style

Wu, Shanhe, Muhammad A. Khan, and Hidayat U. Haleemzai. 2019. "Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder" Mathematics 7, no. 8: 663. https://doi.org/10.3390/math7080663

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop