Прегледај по Аутор "Tomić, Miloš"
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- СтавкаON REPRESENTATION OF DE R I VATIVES OF FUNCTIONS IN Lp(Society of Serbian Mathematicians, 2010) Tomić, MilošA theorem on the expansion of the derivative f(r1; r2; :::; rn); where f 2 Lp; and the derivatives of singular integrals into the series of band - limited functions ( entire functions of exponential type ) , which converges in Lp for 1 p q < 1; is proved . The norms of their items are estimated by best approximations by \ an \
- СтавкаON THE CONVERSE THEOREM OF APPROXIMATION IN VARIOUS METRICS FOR NONPERIODIC FUNCTIONS(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2014) Tomić, MilošThe modulus of smoothness in the norm of space Lq of nonperiodic functions of several variables is estimated by best approximations by entire functions of exponential type in the metric of space Lp, 1 6 p 6 q < 1.