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G. Anastassiou, O. Duman (2011)
Towards Intelligent Modeling: Statistical Approximation Theory, 14
西野 利雄, N. Levenberg, 山口 博史 (2001)
Function theory in several complex variables
HT Bell (1976)
$$S$$ S -limits and $${\cal A}$$ A -summabilityProc. Am. Math. Soc., 61
J. King, J. Swetits (1970)
Positive linear operators and summabilityJournal of the Australian Mathematical Society, 11
Howard Bell (1973)
Order summability and almost convergence, 38
GA Anastassiou, O Duman (2011)
Towards intelligent modeling: statistical approximation theory, intelligent systems reference library
G. Rota, P. Korovkin (1965)
Linear Operators and Approximation Theory.American Mathematical Monthly, 72
O. Agratini (2012)
Statistical convergence of integral operators generated by a single kernelNonlinear Analysis-theory Methods & Applications, 75
S. Gal (2009)
Approximation by Complex Bernstein and Convolution Type Operators
S Karakuş, K Demirci (2012)
$${\cal A}$$ A -summation process and Korovkin-type approximation theorem for double sequences of positive linear operatorsMath. Slovaca, 62
Ö. Atlihan, C. Orhan (2007)
Matrix Summability and Positive Linear OperatorsPositivity, 11
W. Jurkat, A. Peyerimhoff (1971)
Inclusion theorems and order summabilityJournal of Approximation Theory, 4
E. T. (1946)
An Introduction to the Theory of NumbersNature, 157
W. Jurkat, A. Peyerimhoff (1971)
Fourier effectiveness and order summabilityJournal of Approximation Theory, 4
H. Fast (1951)
Sur la convergence statistiqueColloquium Mathematicum, 2
F. Altomare, M. Campiti (1994)
Korovkin-type approximation theory and its applications
(2011)
Quantitative estimates in the overconvergence of some complex multivariate generalized singular integrals in polystrips
G. Anastassiou, O. Duman (2010)
Statistical convergence of double-complex Picard integral operatorsAppl. Math. Lett., 23
A. Gadjiev, C. Orhan (2002)
Some approximation theorems via statistical convergenceRocky Mountain Journal of Mathematics, 32
I. Sakaoglu, Cihan Orhan (2013)
Strong summation process in Lp spacesNonlinear Analysis-theory Methods & Applications, 86
Ö. Atlihan, C. Orhan (2008)
Summation process of positive linear operatorsComput. Math. Appl., 56
JP King, JJ Swetits (1970)
Positive linear operators and summabilityAust. J. Math., 11
İ Sakaoğlu, C Orhan (2013)
Strong summation process in $$L_{p}$$ L p spacesNonlinear Anal. TMA, 86
K. Baumgartner (2016)
Introduction To Complex Analysis In Several Variables
F Altomare, M Campiti (1994)
Korovkin-type approximation theory and its applications, de Gruyter studies in mathematics
S. Karakus, K. Demirci (2012)
A-summation process and Korovkin-type approximation theorem for double sequences of positive linear operatorsMathematica Slovaca, 62
G. Lorentz (1948)
A contribution to the theory of divergent sequencesActa Mathematica, 80
J. Swetits (1979)
On summability and positive linear operatorsJournal of Approximation Theory, 25
R. Mohapatra (1977)
Quantitative results on almost convergence of a sequence of positive linear operatorsJournal of Approximation Theory, 20
In this paper, we approximate a continuous function in a polydisc by means of multivariate complex singular operators which preserve the analytic functions. In this singular approximation, we mainly use a regular summability method (process) from the summability theory. We show that our results are non-trivial generalizations of the classical approximations. At the end, we display an application verifying the singular approximation via summation process, but not the usual sense.
Positivity – Springer Journals
Published: Oct 23, 2015
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