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Integrability and $$L^{1}$$-convergence of Rees-Stanojević sums with generalized semiconvex coefficients. (English) Zbl 1010.42017
Summary: Integrability and $$L^{ 1}$$-convergence of modified cosine sums introduced by C. S. Rees and C. V. Stanojević [J. Math. Anal. Appl. 43, 579-586 (1973; Zbl 0264.42001)] under a class of generalized semiconvex null coefficients are studied, using Cesàro means of integral order.

MSC:
 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 40G05 Cesàro, Euler, Nörlund and Hausdorff methods
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