Research Article

Shift $\lambda $-Invariant Operators

Volume: 2 Number: 3 September 1, 2019
EN

Shift $\lambda $-Invariant Operators

Abstract

The present note is devoted to a generalization of the notion of shift invariant operators that we call it $\lambda $-invariant operators $(\lambda \ge 0)$. Some properties of this new class are presented. By using probabilistic methods, three examples are delivered.

Keywords

References

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  2. [2] G. A. Anastassiou, Moments in probability and approximation theory, Pitman Research Notes in Mathematics Series, Vol. 287, Longman Scientific & Technical, England, 1993.
  3. [3] G. A. Anastassiou, S.G. Gal, On some differential shift-invariant integral operators, univariate case revisited, Adv. Non- linear Var. Inequal., 2(1999), no. 2, 71-83.
  4. [4] G. A. Anastassiou, S.G. Gal, On some differential shift-invariant integral operators, univariate case revisited, Adv. Non- linear Var. Inequal., 2(1999), no. 2, 97-109.
  5. [5] G. A. Anastassiou, S.G. Gal, On some shift invariant multivariate, integral operators revisited, Commun. Appl. Anal., 5(2001), no. 2, 265-275.
  6. [6] G. A. Anastassiou, H.H. Gonska, On some shift invariant integral operators, univariate case, Annales Polonici Mathe- matici, LXI(3)(1995), 225-243.
  7. [7] W. Feller, An introduction to probability theory and its applications, Vol. I, II, John Wiley, New York, London, 1957 resp. 1966.
  8. [8] G. G. Lorentz, Approximation of Functions, Holt, Rinehart and Winston, New York, 1966.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

September 1, 2019

Submission Date

March 25, 2019

Acceptance Date

May 27, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

APA
Agratını, O. (2019). Shift $\lambda $-Invariant Operators. Constructive Mathematical Analysis, 2(3), 103-108. https://doi.org/10.33205/cma.544094
AMA
1.Agratını O. Shift $\lambda $-Invariant Operators. CMA. 2019;2(3):103-108. doi:10.33205/cma.544094
Chicago
Agratını, Octavian. 2019. “Shift $\lambda $-Invariant Operators”. Constructive Mathematical Analysis 2 (3): 103-8. https://doi.org/10.33205/cma.544094.
EndNote
Agratını O (September 1, 2019) Shift $\lambda $-Invariant Operators. Constructive Mathematical Analysis 2 3 103–108.
IEEE
[1]O. Agratını, “Shift $\lambda $-Invariant Operators”, CMA, vol. 2, no. 3, pp. 103–108, Sept. 2019, doi: 10.33205/cma.544094.
ISNAD
Agratını, Octavian. “Shift $\lambda $-Invariant Operators”. Constructive Mathematical Analysis 2/3 (September 1, 2019): 103-108. https://doi.org/10.33205/cma.544094.
JAMA
1.Agratını O. Shift $\lambda $-Invariant Operators. CMA. 2019;2:103–108.
MLA
Agratını, Octavian. “Shift $\lambda $-Invariant Operators”. Constructive Mathematical Analysis, vol. 2, no. 3, Sept. 2019, pp. 103-8, doi:10.33205/cma.544094.
Vancouver
1.Octavian Agratını. Shift $\lambda $-Invariant Operators. CMA. 2019 Sep. 1;2(3):103-8. doi:10.33205/cma.544094