Results 121 to 130 of about 53,940 (208)

Equivalence between various Shape Preserving Approximations of periodic functions

open access: yesResearches in Mathematics
We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

Bernstein’s theorem and trigonometric approximation [PDF]

open access: yesTransactions of the American Mathematical Society, 1936
openaire   +2 more sources

On Weighted Integrability of Functions Defined by Trigonometric Series

open access: yesJournal of Inequalities and Applications, 2010
We introduce a new class of sequences called and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients to belong to the above class.
Szal Bogdan
doaj  

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