Abstract
The present paper deals with best onesided approximation rate in Lp spaces\(\tilde E_n \left( f \right)_{L_p } \) of f∈C2π. Although it is clear that the estimate\(\tilde E_n \left( f \right)_{L_p } \leqslant C\left\| f \right\|_{L_p } \) cannot be correct for all f∈L2πp in case p<∞, the question whether\(\tilde E_n \left( f \right)_{L_p } \leqslant C\omega \left( {f,n^{ - 1} } \right)_{L_p } \), or\(\tilde E_n \left( f \right)_{L_p } \leqslant CE_n \left( f \right)_{L_p } \) holds for f∈C2π remains totally untouched. Therefore it forms a basic problem to justify onesided approximation. The present paper will provide an answer to settle down the basis.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
