caa a22 4500 47709502X CHVBK 20180405111525.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF03322182 doi (NATIONALLICENCE)springer-10.1007/BF03322182 Some Inequalities for Derivatives of Trigonometric and Algebraic Polynomials [Elektronische Daten] [Theodore Kilgore, Michael Felten] We investigate inequalities for derivatives of trigonometric and algebraic polynomials in weighted L P spaces with weights satisfying the Muckenhoupt A p condition. The proofs are based on an identity of Balázs and Kilgore [1] for derivatives of trigonometric polynomials. Also an inequality of Brudnyi in terms of rth order moduli of continuity ωr will be given. We are able to give values to the constants in the inequalities. Birkhäuser Verlag, Basel, 1996 Polynomial inequalities nationallicence Brudnyi's inequality nationallicence weighted spaces nationallicence Muckenhoupt A p condition nationallicence moduli of smoothness nationallicence Kilgore Theodore Mathematics, Auburn University, 36849-5307, Auburn, Alabama, USA aut Felten Michael Mathematik VIII, Universität Dortmund, D-44221, Dortmund, Germany aut Results in Mathematics Birkhäuser-Verlag 30/1-2(1996-08-01), 79-92 0378-6218 30:1-2<79 1996 30 25 https://doi.org/10.1007/BF03322182 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322182 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kilgore Theodore Mathematics, Auburn University, 36849-5307, Auburn, Alabama, USA aut NATIONALLICENCE 700 1- Felten Michael Mathematik VIII, Universität Dortmund, D-44221, Dortmund, Germany aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 30/1-2(1996-08-01), 79-92 0378-6218 30:1-2<79 1996 30 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer