Absolute convergence factors of Lipschitz class functions for general Fourier series
-
Vakhtang Tsagareishvili
and
Giorgi Tutberidze
Abstract
The main aim of this paper is to investigate the sequences of positive numbers, for which multiplication with Fourier coefficients of functions
Funding statement: The research was supported by Shota Rustaveli National Science Foundation grant PHDF-18-476.
References
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Absolute convergence of Fourier series of functions of the class
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Articles in the same Issue
- Frontmatter
- A pair of rational double sequences
- On a new method of the testing hypothesis of equality of two Bernoulli regression functions for group observations
- Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces
- Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
- A Robin boundary value problem for the Cauchy–Riemann operator in a ring domain
- Particular solutions of equations with multiple characteristics expressed through hypergeometric functions
- One remark on the inverse scattering problem for the perturbed Stark operator on the semiaxis
- On a geometric statement of Ramsey type
- Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators
- Approximation on a new class of Szász–Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties
- Regularity properties of nonlocal fractional differential equations and applications
- Solutions of a singular integro-differential equation related to the adhesive contact problems of elasticity theory
- Positive periodic solutions to the forced non-autonomous Duffing equations
- Absolute convergence factors of Lipschitz class functions for general Fourier series
Articles in the same Issue
- Frontmatter
- A pair of rational double sequences
- On a new method of the testing hypothesis of equality of two Bernoulli regression functions for group observations
- Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces
- Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
- A Robin boundary value problem for the Cauchy–Riemann operator in a ring domain
- Particular solutions of equations with multiple characteristics expressed through hypergeometric functions
- One remark on the inverse scattering problem for the perturbed Stark operator on the semiaxis
- On a geometric statement of Ramsey type
- Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators
- Approximation on a new class of Szász–Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties
- Regularity properties of nonlocal fractional differential equations and applications
- Solutions of a singular integro-differential equation related to the adhesive contact problems of elasticity theory
- Positive periodic solutions to the forced non-autonomous Duffing equations
- Absolute convergence factors of Lipschitz class functions for general Fourier series
