Iterated Boolean Sums of Bernstein Type Operators

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2020.1777160 ◽

2020 ◽

Vol 41 (12) ◽

pp. 1515-1527

Author(s):

Tuncer Acar ◽

Ali Aral ◽

Ioan Raşa

Keyword(s):

Bernstein Type ◽

Download Full-text

New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-020-0470-0 ◽

2020 ◽

Vol 51 (4) ◽

pp. 1357-1371

Author(s):

Abdullah Mir

Keyword(s):

Bernstein Type ◽

Norm Estimates ◽

Integral Norm ◽

Bernstein Type Inequalities

Download Full-text

Approximation by Boolean sums of linear operators: Telyakovskiǐ-type estimates

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700028410 ◽

1990 ◽

Vol 42 (2) ◽

pp. 253-266 ◽

Author(s):

Jia-Ding Cao ◽

Heinz H. Gonska

Keyword(s):

Upper Bound ◽

Algebraic Polynomial ◽

Present Note ◽

Type Inequality ◽

Linear Operators ◽

Polynomial Operators ◽

Boolean Sums ◽

General Conditions

In the present note we study the question: “Under which general conditions do certain Boolean sums of linear operators satisfy Telyakovskiǐ-type estimates?” It is shown, in particular, that any sequence of linear algebraic polynomial operators satisfying a Timan-type inequality can be modified appropriately so as to obtain the corresponding upper bound of the Telyakovskiǐ-type. Several examples are included.

Download Full-text

Bernstein-type large deviations inequalities for partial sums of strong mixing processes

10.1080/02331888308802389 ◽

1993 ◽

Vol 24 (1) ◽

pp. 59-70 ◽

Author(s):

Denis Bosq

Keyword(s):

Large Deviations ◽

Partial Sums ◽

Strong Mixing ◽

Bernstein Type ◽

Mixing Processes

Download Full-text

Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities

Indiana University Mathematics Journal ◽

10.1512/iumj.2010.59.4345 ◽

2010 ◽

Vol 59 (4) ◽

pp. 1451-1490 ◽

Author(s):

A. B. Aleksandrov ◽

V. V. Peller

Keyword(s):

Bernstein Type ◽

Adjoint Operators ◽

Bernstein Type Inequalities

Download Full-text

On theorems of Jackson and Bernstein type in the complex plane

Constructive Approximation ◽

10.1007/bf02075464 ◽

1988 ◽

Vol 4 (1) ◽

pp. 307-319 ◽

Author(s):

J. M. Anderson ◽

A. Hinkkanen ◽

F. D. Lesley

Keyword(s):

Complex Plane ◽

Download Full-text

New Generating Function of Bernstein Type Polynomial for Two Variables

10.1063/1.3497851 ◽

2010 ◽

Author(s):

Mehmet Açíkgöz ◽

Serkan Araci ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Generating Function ◽

Download Full-text

Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems

Tohoku Mathematical Journal ◽

10.2748/tmj/1178225107 ◽

1997 ◽

Vol 49 (3) ◽

pp. 337-345 ◽

Author(s):

Luis J. Alías ◽

Alfonso Romero ◽

Miguel Sánchez

Keyword(s):

Mean Curvature ◽

Constant Mean Curvature ◽

Bernstein Type ◽

Spacelike Hypersurfaces

Download Full-text

Lower Estimates for Centered Bernstein-Type Operators

Constructive Approximation ◽

10.1007/s00365-001-0007-7 ◽

2001 ◽

Vol 18 (1) ◽

pp. 145-159

Author(s):

C. Sangüesa

Keyword(s):

Download Full-text

Bernstein-type Operators on a Triangle with One Curved Side

Mediterranean Journal of Mathematics ◽

10.1007/s00009-011-0156-2 ◽

2011 ◽

Vol 9 (4) ◽

pp. 833-845 ◽

Author(s):

Petru Blaga ◽

Teodora Cătinaş ◽

Gheorghe Coman

Keyword(s):

Download Full-text

Asymptotic sharpness of a Bernstein-type inequality for rational functions in $H^{2}$

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-2012-01198-2 ◽

2012 ◽

Vol 23 (2) ◽

pp. 309-319

Author(s):

R. Zarouf

Keyword(s):

Type Inequality ◽

Rational Functions ◽

Bernstein Type ◽

Bernstein Type Inequality

Download Full-text