Displaying similar documents to “16th International Conference on Functional Equations and Inequalities, Będlewo, Poland, May 17-23, 2015”

On functional inequalities in a single variable

Dobiesław Brydak

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CONTENTSIntroduction............................................................................................................ 61. Preliminaries ........................................................................................................... 52. Non-linear inequalities........................................................................................... 73. Continuous solutions of homogeneous inequalities....................................... 124. Continuous solutions...

On the local Cauchy problem for first order partial differential functional equations

Elżbieta Puźniakowska-Gałuch (2010)

Annales Polonici Mathematici

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A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can...

Improved Heinz inequalities via the Jensen functional

Mario Krnić, Josip Pečarić (2013)

Open Mathematics

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By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we discuss another approach to Heinz operator means which is more convenient for obtaining the corresponding operator inequalities for positive invertible operators.