Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika

KETAKSAMAAN HERMITE-HADAMARD TERHADAP INTEGRAL RIEMANN-STIELTJES

Denny Ivanal Hakim (Departemen Matematika, Institut Teknologi Bandung)
Hendra Gunawan (Departemen Matematika, Institut Teknologi Bandung)

Article Info

Publish Date
29 Jun 2012

Abstract

The Hermite-Hadamard inequality is an inequality for convex functions that gives an estimate for the integral mean value of a convex function on a closed interval by its value at the middle of interval and the average of its values at the endpoints. The Hermite-Hadamard inequality can be generalized by using the Riemann-Stieltjes integral mean value. An application of the Hermite-Hadamard inequality with respect to Riemann-Stieltjes integral for estimating the power mean of positive real numbers by the aritmethic mean is given at the end of discussion.

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Journal Info
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Website

Abbrev

jmp

Publisher

Universitas Jenderal Soedirman

Subject

Mathematics

Description

JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, ...