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Search: authors:"George A. Anastassiou"

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Conformable fractional approximations by max-product operators using convexity

Here, we consider the approximation of functions by a large variety of max-product operators under conformable fractional differentiability and using convexity. These are positive sublinear operators. Our study relies on our general results about positive sublinear operators. We derive Jackson-type inequalities under conformable fractional initial conditions and convexity. So our...

Geometric and approximation properties of some singular integrals in the unit disk

Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2006 GEOMETRIC AND APPROXIMATION PROPERTIES OF SOME SINGULAR INTEGRALS IN THE UNIT DISK GEORGE A. ANASTASSIOU 0 1 SORIN ... G. GAL 0 1 0 Sorin G. Gal: Department of Mathematics, University of Oradea , Str. Armatei Romane 5, Oradea 410087, Romania E-mail address: 1 George A. Anastassiou: Department of Mathematical Sciences