A class of positive trigonometric sums. II.
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A convex polygon as a discrete plane curve.
Góźdź, Stanisław (1999)
Balkan Journal of Geometry and its Applications (BJGA)
A note on -convergence of the sine and cosine trigonometric series with semi-convex coefficients.
Krasniqi, Xhevat Z. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
Absolutely convergent Fourier series and generalized Lipschitz classes of functions
Ferenc Móricz (2008)
Colloquium Mathematicae
We investigate the order of magnitude of the modulus of continuity of a function f with absolutely convergent Fourier series. We give sufficient conditions in terms of the Fourier coefficients in order that f belong to one of the generalized Lipschitz classes Lip(α,L) and Lip(α,1/L), where 0 ≤ α ≤ 1 and L = L(x) is a positive, nondecreasing, slowly varying function such that L(x) → ∞ as x → ∞. For example, a 2π-periodic function f is said to belong to the class Lip(α,L) if for all x ∈ , h >...
An application of interpolation theory to Fourier series
Yoram Sagher (1972)
Studia Mathematica
An inequality for Chebyshev connection coefficients.
Guyker, James (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Approximation of functions from by linear operators of conjugate Fourier series
WŁodzimierz Łenski, Bogdan Szal (2011)
Banach Center Publications
We show the results corresponding to some theorems of S. Lal and H. K. Nigam [Int. J. Math. Math. Sci. 27 (2001), 555-563] on the norm and pointwise approximation of conjugate functions and to the results of the authors [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] also on such approximations.
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