Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions
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Publication:2360283
DOI10.1134/S0037446617020021zbMath1371.41027MaRDI QIDQ2360283
Publication date: 30 June 2017
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Convolution as an integral transform (44A35) Best approximation, Chebyshev systems (41A50) Approximation by other special function classes (41A30) Special classes of entire functions of one complex variable and growth estimates (30D15)
Related Items (4)
New convolutions for quadratic-phase Fourier integral operators and their applications ⋮ Average dimension of shift spaces ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts
Cites Work
- Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts
- On n-widths of periodic functions
- On best approximation in classes of periodic functions defined by integrals of a linear combination of absolutely monotonic kernels
- Widths of classes of convolutions with Poisson kernel
- A nonperiodic spline analog of the Akhiezer-Krein-Favard operators
- OSCILLATION PROPERTIES OF DIFFERENTIAL OPERATORS AND CONVOLUTION OPERATORS, AND SOME APPLICATIONS
- Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness
- Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type
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