On strong summability of polynomial expansions

Analysis Mathematica - Tập 12 Số 2 - Trang 115-127 - 1986
Ferenc Schipp1, Nguyen Xuan Ky1
1Department of Mathematics, Eötvös Loránd University, Budapest, Hungary

Tóm tắt

Từ khóa


Tài liệu tham khảo

G. Freud,Orthogonal polynomials, Akadémiai Kiadó (Budapest, 1971).

P. Goetgheluck, Polynomial inequalities and Markov's inequality,Acta Math. Acad. Sci. Hung.,33 (1979), 324–331.

В. И. Иванов, Некото рые экстремальные св ойства полиномов и об ратные неравенства т еории приближения,Т руды математическог о института АН СССР,145 (1980), 79–110.

L. Leindler, On summability of Fourier series,Acta Sci. Math. (Szeged),29 (1968), 147–162.

J. Marcinkiewicz, Sur l'interpolation,Studia Math.,6 (1936), 1–17, 67–81.

P. G.Névai,Orthogonal polynomials, Memoirs of the Amer. Math. Soc., No.213 (1979).

A. Zygmund,Trigonometric Series II, University Press (Cambridge, 1959).

A. Zygmund, On the convergence and summability of power series on the circle of convergence,Proc. London Math. Soc.,47 (1941), 326–350.