Aczel's inequality
WebNov 8, 2013 · Tian JF, Wang S: Refinements of generalized Aczél’s inequality and Bellman’s inequality and their applications. J. Appl. Math. 2013., 2013: Article ID 645263. Google Scholar Wu S: Improvement of Aczél’s inequality and Popoviciu’s inequality. J. Inequal. Appl. 2007., 2007: Article ID 72173 10.1155/2007/72173 WebIt is well known that Aczél’s inequality plays an important role in the theory of functional equations in non-Euclidean geometry. In recent years, various attempts have been made by many authors to improve and generalize the Aczél’s inequality (see [ 2 – 19] and references therein). We state here some improvements of Aczél’s inequality.
Aczel's inequality
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WebIn this note, we point out some new inequalities of Aczel's type for real numbers. Discover the world's research. 20+ million members; 135+ million publications; 700k+ research projects; Aczél's Inequality states that if or , then Contents 1 Proof 2 General Form 3 Examples 4 References 5 See also Proof Consider the function . We have , and from we get . Therefore, must have at least one root, . General Form Let such that and let be sequences of positive real numbers such that for . Then
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WebIn this paper, we will study a refinement of the Cauchy–Buniakowski–Schwarz inequality and a refinement of the Aczél inequality by the technique of the monotony of a sequence. In the final part, we present some properties of bounds … WebIn this paper, we present some new properties of Acz´el-type inequalities, and then we obtain some new refinements of Acz´el-type inequalities. Mathematics subject …
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WebJun 17, 2014 · Tian J-F: Reversed version of a generalized Aczél’s inequality and its application. J. Inequal. Appl. 2012., 2012: Article ID 202. Google Scholar Tian J-F, Wang S: Refinements of generalized Aczél’s inequality and Bellman’s inequality and their applications. J. Appl. Math. 2013., 2013: Article ID 645263 do you need a prebiotic with a probioticWeb[12], some similar properties of the above Acz el-type inequality and Bellman-type inequality are given, and then some new re nements of Acz el-type inequality and … do you need a prescription for albenzaWebJun 26, 2014 · Due to the importance of Aczél’s inequality (1), it has received considerable attention by many authors and has motivated a large number of research papers giving it … do you need a prescription for alawayWebMar 31, 2024 · On inequalities of Bellman and Aczél type. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. The purpose of this paper is to prove some eigenvalue inequalities involving convex functions. These extend many remarkable inequalities, most of them related to the Bellman and Aczél inequalities. emergency housing voucher eligibilityWebThe main result here is a simple general-purpose numerical inequality that can be used to produce a variety of Aczél type inequalities with little effort. Key words and phrases: Aczél Inequality, Hölder Inequality. 2000 Mathematics Subject Classification. 26D15. do you need a prescription for allopurinolWebTo solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own. Less Than Or Equal To Type <= for "less than or equal to". Here is an example: Greater Than Or Equal To Type >= for "greater than or equal to". do you need a prescription for aedWebSep 11, 2012 · It is well known that Aczél’s inequality (1) plays an important role in the theory of functional equations in non-Euclidean geometry. Various refinements, … do you need app to use uber