scholarly journals The Sharp Remez-Type Inequality for Even Trigonometric Polynomials on the Period

2019 ◽  
pp. 135-145
Author(s):  
Tamás Erdélyi
Keyword(s):  
Type Inequality ◽  
Trigonometric Polynomials

Remez type inequality for trigonometric polynomials on an interval

2012 ◽  
Author(s):  
Alexey Lukashov ◽  
Mehmet Ali Aktürk
Keyword(s):  
Type Inequality ◽  
Trigonometric Polynomials

On a Remez-type inequality for trigonometric polynomials

2012 ◽  
Vol 164 (9) ◽  
pp. 1233-1237 ◽  
Author(s):  
Michael I. Ganzburg
Keyword(s):  
Type Inequality ◽  
Trigonometric Polynomials

On the Jackson-Type Inequality for the Best Sp-Approximations of Functions by Trigonometric Polynomials

2017 ◽  
Vol 8 ◽  
pp. 27-35
Author(s):  
Alexander N. Shchitov
Keyword(s):  
Best Approximation ◽  
Type Inequality ◽  
Trigonometric Polynomials ◽  
Sharp Constant ◽  
Jackson Type ◽  
Moduli Of Continuity ◽  
Approximation Of Functions ◽  
The Best Approximation

We find the sharp constant in the Jackson-type inequality between the value of the best approximation of functions by trigonometric polynomials and moduli of continuity of m-th order in the spaces Sp, 1 ≤ p < ∞. In the particular case we obtain one result which in a certain sense generalizes the result obtained by L.V. Taykov for m = 1 in the space L2 for the arbitrary moduli of continuity of m-th order (m Є N).

scholarly journals A Note on a Remez-Type Inequality for Trigonometric Polynomials

2002 ◽  
Vol 116 (2) ◽  
pp. 416-424 ◽  
Author(s):  
Vladimir Andrievskii
Keyword(s):  
Type Inequality ◽  
Trigonometric Polynomials

Approximation of Unbounded Functions by Trigonometric Polynomials

2017 ◽  
Vol 13 (4) ◽  
pp. 106-116
Author(s):  
Alaa A. Auad ◽  
◽  
Mousa M. Khrajan
Keyword(s):  
Trigonometric Polynomials

Approximate Solution Of A Singular Integral Equation With A Multiplicative Cauchy Kernel In The Half-Plane

2008 ◽  
Vol 8 (2) ◽  
pp. 143-154 ◽  
Author(s):  
P. KARCZMAREK
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Singular Integral Equation ◽  
Half Plane ◽  
Singular Integral ◽  
Trigonometric Polynomials ◽  
Cauchy Kernel

AbstractIn this paper, Jacobi and trigonometric polynomials are used to con-struct the approximate solution of a singular integral equation with multiplicative Cauchy kernel in the half-plane.

Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives

2019 ◽  
Vol 49 (2) ◽  
pp. 17-34 ◽  
Author(s):  
Alireza Ansari ◽  
Shiva Eshaghi ◽  
Reza Khoshsiar Ghaziani
Keyword(s):  
Nonlinear Systems ◽  
Fractional Derivatives ◽  
Type Inequality ◽  
Lyapunov Type Inequality

On the equicontinuity of families of inverse mappings of Riemannian manifolds

2019 ◽  
Vol 16 (4) ◽  
pp. 557-566
Author(s):  
Denis Ilyutko ◽  
Evgenii Sevost'yanov
Keyword(s):  
Riemannian Manifolds ◽  
Type Inequality ◽  
The Given ◽  
Range Of Values

We study homeomorphisms of Riemannian manifolds with unbounded characteristic such that the inverse mappings satisfy the Poletsky-type inequality. It is established that their families are equicontinuous if the function Q which is related to the Poletsky inequality and is responsible for a distortion of the modulus, is integrable in the given domain, here the original manifold is connected and the domain of definition and the range of values of mappings have compact closures.

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