Titlebook: Exploring Mathematical Analysis, Approximation Theory, and Optimization; 270 Years Since A.-M Nicholas J. Daras,Michael Th. Rassias,Nikolao

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On a Version of Jensen-Steffensen Inequality and a Note on Inequalities in Several Variables,We deal with special versions of Jensen-Steffensen inequality for convex functions, and we note on convex and subquadratic functions in one and several variables.

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Kleene Fixed Point Theorems and Applications,A couple of Kleene fixed point principles is discussed on (partially) ordered spaces. Then, some applications of these—including the Caristi-Kirk principles and Banach-Matkowski results—are given.

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Improvement of the Hardy Inequality and Legendre Polynomials,We discuss the improvement of the Hardy inequality on the whole space and we give its connection with the Legendre polynomials.