Bounds of groups of deviations of the Faber sums and strong summability of the Faber series on classes of \(\psi\)-integrals. (Russian, English) Zbl 1142.42310
Ukr. Mat. Zh. 56, No. 4, 451-461 (2004); translation in Ukr. Math. J. 56, No. 4, 547-559 (2004).
Summary: We establish upper bounds of a group of \(\varphi^\ast\)-deviations of the Faber sums on classes of \(\psi\)-integrals in a complex plane that were introduced by A. I. Stepanets [Methods of approximation theory. I. Mathematics and its Applications 40(1). Kiev: Institute of Mathematics of NAS of Ukraine (2002; Zbl 1129.42001), Methods of approximation theory. II. Mathematics and its Applications 40(2). Kiev: Institute of Mathematics of NAS of Ukraine (2002; Zbl 1129.42002)].
MSC:
| 42B08 | Summability in several variables |
