Approximation by complex Favard-Szász-Mirakjan-Stancu operators in compact disks

In this paper, we establish some theorems on approximation and Voronovskaja type results for complex modified Sz?sz-Mirakjan-Stancu operators attached to analytic functions having exponential growth on compact disks. Also, we estimate the rate of convergence and the exact order of approximation.

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Approximation by complex Phillips–Stancu operators in compact disks under exponential growth conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.049 ◽

2014 ◽

Vol 234 ◽

pp. 309-315 ◽

Cited By ~ 2

Author(s):

Sorin G. Gal ◽

Vijay Gupta

Keyword(s):

Exponential Growth ◽

Growth Conditions ◽

Stancu Operators ◽

Compact Disks

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Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-020-3918-y ◽

2020 ◽

Vol 35 (4) ◽

pp. 468-478

Author(s):

Qing-bo Cai ◽

Ülkü Dinlemez Kantar ◽

Bayram Çekim

Keyword(s):

Approximation Properties ◽

Stancu Operators

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A de Casteljau Algorithm for -Bernstein-Stancu Polynomials

Abstract and Applied Analysis ◽

10.1155/2011/609431 ◽

2011 ◽

Vol 2011 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Grzegorz Nowak

Keyword(s):

Bernstein Polynomials ◽

Classical Case ◽

Geometric Progression ◽

De Casteljau Algorithm ◽

Stancu Operators

This paper is concerned with a generalization of the -Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression. It is shown that these polynomials can be generated by a de Casteljau algorithm, which is a generalization of that relating to the classical case and -Bernstein case.

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Observing compact disks inside pre-PNe with the VLTI

Proceedings of the International Astronomical Union ◽

10.1017/s1743921312010800 ◽

2011 ◽

Vol 7 (S283) ◽

pp. 115-118

Author(s):

Stacey N. Bright ◽

Orsola De Marco ◽

Olivier Chesneau ◽

Eric Lagadec ◽

Hans Van Winckel ◽

...

Keyword(s):

Mass Loss ◽

Agb Stars ◽

Reflected Light ◽

Shaping Process ◽

Show Evidence ◽

Compact Disks

AbstractAGB stars appear to lose mass spherically, but many PNe resulting from the AGB mass-loss have non-spherical morphologies. Compact disks have been found in some bipolar PNe, but their role in the shaping process remains unknown. Compact Keplerian disks are found to be common around post-AGB binaries, however, these objects may never develop into PNe. Another group of post-AGB stars, known as pre-PNe, are surrounded by collimated nebulae shining by reflected light or shock ionisation. We are observing the inner circumstellar regions of pre-PNe at high angular resolutions with the VLTI. We seek to compare pre-PNe disks to those around other post-AGB stars and PNe. New observations of the pre-PN, IRAS 16279-4757, show evidence for a disk similar to those seen in young PNe.

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