Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
New Inequalities Based on Convexity

New Inequalities Based on Convexity

Bencze Mihaly

Paperback

General Mathematics

ISBN10: 3659185442
ISBN13: 9783659185441
Publisher: Lap Lambert Academic Pub
Published: Nov 1 2012
Pages: 196
Weight: 0.65
Height: 0.45 Width: 6.00 Depth: 9.00
Language: English
In this book I present new inequalities based on convexity. The first chapter is devoted to the Popoviciu's inequality for functions of several variables. The notion of 2D-convex function is introduced, and several results are presented like the 2D analogue of Jensen's inequality, the version of Hermite-Hadamard type inequality, the analogue of midpoint convexity, convolution of 2D-convex functions, and the nice proof of the classical Popoviciu's inequality, based on the mathematical induction. In the second chapter I studied in seven sections, the Hilbert-type inequalities, Hardy-Hilbert integral inequality etc. In the third chapter I present in six sections: the Hermite-Hadamard integral inequality, the Simpson-type, Newton-type and Gauss-type inequalities. In the chapter four I discuss the Schur convexity of generalized Heronian means, involving two parameters. Chapter five has nine sections, and studies the Brunn-Minkowski inequality.

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