SavedAdd your journal

Journals / Constructive Mathematical Analysis / 2019 / Cilt: 2 - Sayı: 3

Shift $\lambda $-Invariant Operators

Octavian AGRATINI
Pages
103–108
Publication Date
2019-09-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By using probabilistic methods, three examples are delivered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The present note is devoted to a generalization of the notion of shift invariant operators that we call it $\lambda $-invariant operators $(\lambda \ge 0)$.
📊
Key Findings & Data:Some properties of this new class are presented.
💡
Conclusion & Impact:By using probabilistic methods, three examples are delivered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:convolution type operator · Modulus of continuity · integral operator

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.

🔖

Cite This Article

AGRATINI, O. (2019). Shift $\lambda $-Invariant Operators. Constructive Mathematical Analysis, Cilt: 2 - Sayı: 3, 103–108. https://ajindex.com/articles/748940

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (9)

  1. F.Altomare,M.CappellettiMontano,V.Leonessa,I.Ras ̧a,MarkovOperators,PositiveSemigroupsandApproximation Processes, De Gruyter Studies in Mathematics, Vol. 61, Berlin, 2014
  2. G. A. Anastassiou, Moments in probability and approximation theory, Pitman Research Notes in Mathematics Series, Vol. 287, Longman Scientific & Technical, England, 1993
  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. 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. G. A. Anastassiou, S.G. Gal, On some shift invariant multivariate, integral operators revisited, Commun. Appl. Anal., 5(2001), no. 2, 265-275
  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. W. Feller, An introduction to probability theory and its applications, Vol. I, II, John Wiley, New York, London, 1957 resp. 1966
  8. G. G. Lorentz, Approximation of Functions, Holt, Rinehart and Winston, New York, 1966
  9. D. D. Stancu, Use of probabilistic methods in the theory of uniform approximation of continuous functions, Rev. Roum. Math. Pures et Appl., Tome 14(5)(1969), 673-691.