Search Results - Inverse theorems in approximation theory

Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin’s papers and the development of these theorems by Ivanov, V. I.

“…S.B. Stechkin made a considerable contribution to the important aspect of approximation theory for periodic functions concerned with direct and inverse theorems…”
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Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness by Runovskii, K. V., Laktionova, N. V.

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Bernstein-Type Estimates for Periodic Functions of Several Variables with Generalized Smoothness by Laktionova, N. V., Runovskii, K. V., Shpyrko, O. A.

“…The generalized -derivative in the space of -periodic functions of variables integrable to the th power for and continuous for , which are respectively…”
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INVERSE THEOREMS OF APPROXIMATION THEORY IN Lp,α(R+) Vol. 3(2) July 2015, No. 6, pp. 92-99 R. DAHER, S. EL OUADIH

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Some Theorems of Approximation Theory in Weighted Smirnov Classes with Variable Exponent by Testici, Ahmet

“… Moreover, direct and inverse theorems of approximation theory in weighted Smirnov classes with variable exponent are proved and some results related to constructive characterization in generalized…”
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Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems by Guo, Benqi, Babuška, Ivo

“…This is the third of a series devoted to the direct and inverse approximation theorems of the p-version of the finite element method in the framework of the Jacobi-weighted Besov and Sobolev spaces…”
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Direct and Inverse Theorems in the Theory of Approximation by the Ritz Method by Horbachuk, M. L., Hrushka, Ya. I., Torba, S. M.

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L p Bernstein inequalities and inverse theorems for RBF approximation on R d by Ward, John Paul

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Direct and inverse theorems of approximation theory for a generalized modulus of smoothness by Potapov, M. K., Berisha, F. M., Потапов, М. К., Берища, Ф. М.

“… direct and inverse theorems of approximation theory for it.В данной работе вводится несимметричный оператор обобшенного свига, с его помошью определяется обобшенный…”
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Lp Bernstein inequalities and inverse theorems for RBF approximation on Rd by Ward, John Paul

“…Bernstein inequalities and inverse theorems are a recent development in the theory of radial basis function (RBF) approximation…”
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Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation by Bosuwan, N., López Lagomasino, G.

“… Thereby, we obtain an analog of Gonchar’s theorem on row sequences of Padé approximants…”
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Direct and inverse theorems of approximation theory for a generalised modulus of smoothness by Potapov, Mikhail K, Berisha, Faton M

“… direct and inverse theorems of approximation theory for it…”
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Direct and Inverse Theorems in the Theory of Approximation of Functions in the Space Sp by Stepanets, A. I., Serdyuk, A. S.

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Inequalities and Inverse Theorems in Restricted Rational Approximation Theory by Borwein, Peter

“…The following lemma, part a) due to S. N. Bernstein and part b) due to A. A. Markov, is fundamental to the proofs of many inverse theorems in polynomial approximation theory. LEMMA 1. [2, p. 62 and p. 67] Let…”
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On the Constants in Inverse Theorems for the First-Order Derivative by Vinogradov, O. L.

“…The known proofs of the inverse theorems in the theory of approximation by trigonometric polynomials and entire functions of exponential type are based on S.N…”
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Approximation by polynomials and rational functions in weighted rearrangement invariant spaces by Israfilov, Daniyal M., Akgün, Ramazan

“…Let Γ be a Dini-smooth curve in the complex plane, and let G : = Int Γ . We prove some direct and inverse theorems of approximation theory by algebraic…”
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Direct and inverse results in variable Hilbert scales by Mathé, Peter, Hofmann, Bernd

“… The authors review and establish direct theorems and also provide inverse theorems, as such are common in approximation theory…”
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Approximation by Entire Functions on a Countable Set of Continua. The Inverse Theorem by Silvanovich, O. V., Shirokov, N. A.

“… are called inverse approximation theorems. It is usually said that some class of generally smooth functions is constructively described in terms of the approximation by polynomials…”
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Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval by Abel, Ulrich, Ivan, Mircea, Păltănea, Radu

“… We obtain an inverse Voronovskaya theorem and we apply our results to the Bernstein operators and a class of Bernstein…”
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Direct and inverse theorems in the theory of approximation by the Ritz method by Torba, S M, Gorbachuk, M L, Grushka, Ya I

“…For an arbitrary self-adjoint operator \(B\) in a Hilbert space \(H\), we present direct and inverse theorems establishing the relationship between the degree of smoothness of a vector \(x \in H…”
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