scholarly journals Approximation by the -Szász-Mirakjan Operators

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
N. I. Mahmudov
Keyword(s):  
Weighted Spaces ◽  
Rate Of Approximation ◽  
Quantitative Estimates ◽  
Voronovskaja’S Theorem

This paper deals with approximating properties of theq-generalization of the Szász-Mirakjan operators in the case . Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by theq-Szász-Mirakjan operators ( ) is of order versus 1/nfor the classical Szász-Mirakjan operators.

scholarly journals Rate of Approximation for Modified Lupaş-Jain-Beta Operators

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
M. Qasim ◽  
Asif Khan ◽  
Zaheer Abbas ◽  
Princess Raina ◽  
Qing-Bo Cai
Keyword(s):  
Pointwise Convergence ◽  
Type Theorem ◽  
Local Approximation ◽  
Basis Functions ◽  
Weighted Spaces ◽  
Rate Of Approximation ◽  
Quantitative Estimates ◽  
Voronovskaya Type Theorem ◽  
New Construction

The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1. Primarily, for the sequence of operators, the convergence is discussed for functions belong to weighted spaces. Further, to prove pointwise convergence Voronovskaya type theorem is taken into consideration. Finally, quantitative estimates for the local approximation are discussed.

scholarly journals APPROXIMATION BY GENERALIZED q-SZASZ-MIRAKJAN ´ OPERATORS

2021 ◽  
Vol 12 (6) ◽  
pp. 9-21
Author(s):  
TAQSEER KHAN ◽  
MOHD SAIF ◽  
SHUZAAT ALI KHAN
Keyword(s):  
Approximation Properties ◽  
Quantitative Estimates ◽  
Voronovskaja’S Theorem

In this article, we introduce generalized q−Sz´asz-Mirakjan operators and study their approximation properties. Based on the Voronovskaja’s theorem, we obtain quantitative estimates for these operators.

Approximation of functions by some exponential operators of max-product type

2019 ◽  
Vol 56 (1) ◽  
pp. 94-102
Author(s):  
Adrian Holhoş
Keyword(s):  
Modulus Of Continuity ◽  
Uniform Approximation ◽  
Product Type ◽  
Weighted Spaces ◽  
Approximation Of Functions ◽  
Rate Of Approximation

Abstract In this paper we study the uniform approximation of functions by a generalization of the Picard and Gauss-Weierstrass operators of max-product type in exponential weighted spaces. We estimate the rate of approximation in terms of a suitable modulus of continuity. We extend and improve previous results.

scholarly journals Approximation by Genuineq-Bernstein-Durrmeyer Polynomials in Compact Disks in the Caseq>1

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Nazim I. Mahmudov
Keyword(s):  
Open Problem ◽  
Analytic Functions ◽  
Type Theorem ◽  
Linear Operators ◽  
Explicit Formulas ◽  
Rate Of Approximation ◽  
Voronovskaja Type Theorem ◽  
Quantitative Estimates ◽  
Compact Disks ◽  
Durrmeyer Polynomials

This paper deals with approximating properties of the newly definedq-generalization of the genuine Bernstein-Durrmeyer polynomials in the caseq>1, which are no longer positive linear operators onC0,1. Quantitative estimates of the convergence, the Voronovskaja-type theorem, and saturation of convergence for complex genuineq-Bernstein-Durrmeyer polynomials attached to analytic functions in compact disks are given. In particular, it is proved that, for functions analytic inz∈ℂ:z<R,R>q, the rate of approximation by the genuineq-Bernstein-Durrmeyer polynomialsq>1is of orderq−nversus1/nfor the classical genuine Bernstein-Durrmeyer polynomials. We give explicit formulas of Voronovskaja type for the genuineq-Bernstein-Durrmeyer forq>1. This paper represents an answer to the open problem initiated by Gal in (2013, page 115).

scholarly journals Approximation of functions by Favard-Szász-Mirakyan operators of max-product type in weighted spaces

Filomat ◽  
2018 ◽  
Vol 32 (7) ◽  
pp. 2567-2576
Author(s):  
Adrian Holhoş
Keyword(s):  
Modulus Of Continuity ◽  
Uniform Approximation ◽  
Product Type ◽  
Weighted Spaces ◽  
Approximation Of Functions ◽  
Rate Of Approximation

In this paper we study the uniform approximation of functions by Favard-Sz?sz-Mirakyan operators of max-product type in some exponential weighted spaces. We estimate the rate of approximation in terms of a suitable modulus of continuity.

Some Results of the Spectroscopic Study of Four Close Binary Systems of Early Spectral Types

1965 ◽  
Vol 5 ◽  
pp. 120-130
Author(s):  
T. S. Galkina
Keyword(s):  
Spectroscopic Study ◽  
Spectral Type ◽  
Spectroscopic Investigation ◽  
Binary Systems ◽  
Quantitative Information ◽  
Close Binary ◽  
Physical Parameters ◽  
Absorption And Emission ◽  
Close Binary Systems ◽  
Quantitative Estimates

It is necessary to have quantitative estimates of the intensity of lines (both absorption and emission) to obtain the physical parameters of the atmosphere of components.Some years ago at the Crimean observatory we began the spectroscopic investigation of close binary systems of the early spectral type with components WR, Of, O, B to try and obtain more quantitative information from the study of the spectra of the components.

The Resolution and Contrast in Biological Sections Determined by Inelastic and Elastic Scattering

1973 ◽  
Vol 31 ◽  
pp. 224-225
Author(s):  
D. L. Misell
Keyword(s):  
Electron Microscopy ◽  
Adverse Effect ◽  
Elastic Scattering ◽  
Inelastic Scattering ◽  
Amorphous Carbon ◽  
Polymeric Materials ◽  
Chromatic Aberration ◽  
Image Resolution ◽  
Quantitative Estimates ◽  
Elastic Ratio

In the electron microscopy of biological sections the adverse effect of chromatic aberration on image resolution is well known. In this paper calculations are presented for the inelastic and elastic image intensities using a wave-optical formulation. Quantitative estimates of the deterioration in image resolution as a result of chromatic aberration are presented as an alternative to geometric calculations. The predominance of inelastic scattering in the unstained biological and polymeric materials is shown by the inelastic to elastic ratio, I/E, within an objective aperture of 0.005 rad for amorphous carbon of a thickness, t=50nm, typical of biological sections; E=200keV, I/E=16.

Estimation of welfare costs of inflation: The case of Russia

2019 ◽  
pp. 55-69 ◽  
Author(s):  
Sergey M. Drobyshevskiy ◽  
Natalia V. Makeeva ◽  
Elena V. Sinelnikova-Muryleva ◽  
Pavel V. Trunin
Keyword(s):  
Inflation Targeting ◽  
Empirical Studies ◽  
Welfare Costs ◽  
Economic Agents ◽  
Academic Literature ◽  
Russian Economy ◽  
Theoretical Approaches ◽  
Real Gdp ◽  
Quantitative Estimates ◽  
Positive Effect

This paper is devoted to the estimation of welfare costs of inflation, taking into account the peculiarities of the Russian economy. Theoretical approaches that are used in the literature to analyze the costs of inflation are discussed in the paper. It also provides an overview of the empirical studies of this topic. Research found in academic literature shows that the results of quantitative estimates are extremely sensitive to the choice of the functional form of the money demand equation, as well as to assumptions that are made to simplify the analysis, some of which do not fit Russian data. As a result, we have modified the standard approaches to estimating welfare costs of inflation, taking into account the monetization growth in Russia, and provide quantitative estimates of the magnitude of welfare costs of inflation. The results indicate a significant gain for economic agents in terms of real GDP with a decrease in inflation, which is regarded as a positive effect from the inflation targeting policy.

399. Plm and Tem Quantitative Estimates of Asbestos in Bulk Samples

1999 ◽  
Author(s):  
P. Frasca ◽  
J. Newton ◽  
R. DeMalo
Keyword(s):  
Quantitative Estimates
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