НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ
From MaRDI portal
Publication:5108821
DOI10.22405/2226-8383-2017-18-4-139-166zbMath1444.42006OpenAlexW2810027514MaRDI QIDQ5108821
Evgeniĭ Petrovich Ofitserov, O. I. Smirnov, Dmitry Gorbachev, Valeriĭ I. Ivanov
Publication date: 6 May 2020
Published in: Чебышевский сборник (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/cheb603
Fourier transformsHankel transformsJacobi transformsBohman extremal problemsDelsarte extremal problemsFejér extremal problemsGauss and Markov quadrature formulaeLogan extremal problemsTurán extremal problems
Related Items (2)
Вторая экстремальная задача Логана для преобразования Фурье по собственным функциям оператора Штурма–Лиувилля ⋮ Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation in \(L_2\) by partial integrals of the Fourier transform over the eigenfunctions of the Sturm-Liouville operator
- The Delsarte extremal problem for the Jacobi transform
- Turán's extremal problem on locally compact abelian groups
- The Turán extremal problem for periodic functions with small support and its applications.
- Some extremal problems for the Fourier transform on the hyperboloid
- Approximation in \(L_2\) by partial integrals of the multidimensional Fourier transform over the eigenfunctions of the Sturm-Liouville operator
- Approximation of the multidimensional Jacobi transform in \(L_2\) by partial integrals
- Approximate Fourier analysis of distribution functions
- Multidimensional Jackson theorem in \(L_ 2\).
- Jacobi functions: the addition formula and the positivity of the dual convolution structure
- Extremal problem for periodic functions with small support
- Explicit quadrature formulae for entire functions of exponential type
- New upper bounds on sphere packings. II
- Two related extremal problems for entire functions of several variables
- Bohman extremal problem for the Dunkl transform
- Approximation of functions in the spaces \(L_ p\)
- Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight
- Stability of solutions to linear impulsive systems of Itô differential equations with aftereffect with respect to initial data in part of variables
- The sphere packing problem in dimension 8
- The sphere packing problem in dimension \(24\)
- On the Turán problem for periodic functions with nonnegative Fourier coefficients and small support
- Optimal arguments in Jackson's inequality in the power-weighted space \(L_2(\mathbb R^d)\)
- On the Turán and Delsarte problems for periodic positive-definite functions
- On Jackson's inequality in \(L_2\)
- The convolution structure for Jacobi function expansions
- Über Gitterpunkte in konvexen Körpern und ein damit zusammenhängendes Extremalproblem
- Inequalities for Fourier transforms of positive functions
- TURÁN'S EXTREMAL PROBLEM FOR POSITIVE DEFINITE FUNCTIONS ON GROUPS
- Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type
- Extremal Problems for Positive-Definite Bandlimited Functions. I. Eventually Positive Functions with Zero Integral
- Extremal Problems for Positive-Definite Bandlimited Functions. II. Eventually Negative Functions
- Sphere-packing in Euclidean space and extremal problems for trigonometrical polynomials
- A Quadrature Formula Involving Zeros of Bessel Functions
- On a problem of Turán about positive definite functions
- Convolution roots of radial positive definite functions with compact support
- A Quadrature Formula with Zeros of Bessel Functions as Nodes
- Bessel harmonic analysis and approximation of functions on the half-line
- Одна экстремальная задача для тригонометрических рядов С неотрицательнымн коэффициентами
- Extremum problems for entire functions of exponential spherical type
- An extremum problem for periodic functions supported in a ball
This page was built for publication: НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ
