{"product_id":"new-inequalities-based-on-convexity-2d-convexity-and-its-appilactions-von-mihaly-bencze","title":"New Inequalities based on convexity","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659185441\"\u003e\u003ch3\u003e2D-convexity and its appilactions\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659185441","offer_id":39448454529117,"sku":"9783659185441","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/b6228ba0-524f-4f89-b71d-7f13ae12f481.jpg?v=1781413876","url":"https:\/\/shop.autorenwelt.de\/en\/products\/new-inequalities-based-on-convexity-2d-convexity-and-its-appilactions-von-mihaly-bencze","provider":"Autorenwelt Shop","version":"1.0","type":"link"}