scholarly journals Gruss and Gruss-Voronovskaya-type estimates for complex convolution polynomial operators

2021 ◽  
Author(s):  
Sorın GAL ◽  
Ionut T. IANCU
Keyword(s):  
Polynomial Operators

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

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.

Interpolation of polynomial operators in a Hilbert space

1997 ◽  
Vol 86 (1) ◽  
pp. 2455-2458 ◽  
Author(s):  
E. F. Kashpur ◽  
V. V. Khlobystov
Keyword(s):  
Hilbert Space ◽  
Polynomial Operators
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