On respresentation of derivatives of functions in $L_p$

Miloš Tomić

On respresentation of derivatives of functions in $L_{p}$

Authors

Miloš Tomić University of East Sarajevo, East Sarajevo, Republic of Srpska Author

Keywords:

Approximation by an angle

Subjects:

42B99

Abstract

A theorem on the expansion of the derivative $f^{(r_{1}, r_{2}, \dots, r_{n})}$ , where $f ı n L_{p}$ , and the derivatives of singular integralsinto the series of band-limited functions (entire functions of exponential type), which converges in $L_{p}$ for $1 \leq p \leq q < ı n f t y$ , is proved.The norms of their items are estimated by best approximations by "an angle''.