Skip to main content
SpringerLink
Log in

Some Sequence Spaces of Weight f

  • Conference paper
  • First Online:
Proceedings of the Seventh International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1412))

  • 572 Accesses

Abstract

The aim of the paper is to present the sequence space that is strongly double lacunary p-summable respecting an Orlicz function. We also consider a relation between the family of lacunary double statistically convergent sequences of weight f and \(\hat{w}_{\theta _{u,v}}^{f }\left[ \varphi ,p \right] -\)summable sequences of weight f.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Colak R (2010) Statistical convergence of order \(\alpha \). In: Modern methods in analysis and its applications, New Delhi, India, Anamaya Pub, pp 121–129

    Google Scholar 

  2. Fast H (1951) Sur la convergence statistique. Colloq Math 2:241–244

    Article  MathSciNet  Google Scholar 

  3. Krasnoselskii MA, Rutisky YB (1961) Convex function and Orlicz spaces. Groningen, Netherlands

    Google Scholar 

  4. Mursaleen, Edely OH (2003) Statistical convergence of double sequences. J Math Anal Appl 288(1):223–231

    Google Scholar 

  5. Parashar SD, Choudhury B (1994) Sequence space defined by Orlicz function. Indian J Pure Appl Math 25(14):419–428

    MathSciNet  Google Scholar 

  6. Patterson RF, Savaş E (2000) Lacunary statistical convergence of double sequences. Math Commun 10:55–61

    MathSciNet  MATH  Google Scholar 

  7. Patterson RF, Savas R, Savas E (2020) Multidimensional linear functional connected with double strongly Cesàro summability. Indian J Pure Appl Math 51(1):143–153

    Article  MathSciNet  Google Scholar 

  8. Pringsheim A (1900) Zur theorie der zweifach unendlichen Zahlenfolgen. Mathematische Annalen 53:289–321

    Article  MathSciNet  Google Scholar 

  9. Savaş E (2008) \((A,\lambda )\) - double sequence spaces defined by Orlicz function and double statistical convergence. Comput Math Appl 55(6):1293–1301

    Article  MathSciNet  Google Scholar 

  10. Savaş E (2009) On some new double lacunary sequences spaces via Orlicz function. J Comput Anal Appl 11(3):423–430

    MathSciNet  MATH  Google Scholar 

  11. Savaş E (2009) Remark on double lacunary statistical convergence of fuzzy numbers. J Comput Anal Appl 11(1):64–69

    MathSciNet  MATH  Google Scholar 

  12. Savaş E (2013) Double almost statistical convergence of order \(\alpha \). Adv Differ Equ 2013:62

    Google Scholar 

  13. Savaş E (2013) On lacunary double statistical convergence in locally solid Riesz spaces. J Ineq Appl 2013:99

    Google Scholar 

  14. Savaş E (Preprint) Double lacunary statistical convergence sequences of weight \(g\). In: De Gruyter (ed) Proceedings in mathematics, operator theory (2021)

    Google Scholar 

  15. Savaş E, Patterson RF (2007) Double sequence spaces defined by Orlicz functions. Iran J Sci Technol Trans A Sci 31(2):183–188

    MathSciNet  MATH  Google Scholar 

  16. Savaş E, Patterson RF (2007) Double sequence spaces defined by Orlicz functions. Iran J Sci Tech Trans A Sci 31(2):183–188

    MathSciNet  MATH  Google Scholar 

  17. Savaş E, Patterson RF (2008) \((\sigma , \lambda )\)- double sequence spaces via Orlicz function. J Comput Anal Appl 10(1):101–111

    MathSciNet  MATH  Google Scholar 

  18. Savaş E, Patterson RF (2009) Double \(\sigma \) -convergence lacunary statistical sequences. J Comput Anal Appl 11(4):610–615

    MathSciNet  MATH  Google Scholar 

  19. Savaş E, Patterson RF (2011) Some double lacunary sequence spaces defined by Orlicz functions. Southeast Asian Bull Math 35(1):103–110

    MathSciNet  MATH  Google Scholar 

  20. Savaş E, Savaş R (2003) Some \(\lambda \)- sequence spaces defined by Orlicz functions. Indian J Pure Appl Math 34(12):1673–1680

    MathSciNet  MATH  Google Scholar 

  21. Savaş E, Savaş R (2004) Some sequence spaces defined by Orlicz functions. Arch Math (Brno) 40(1):33–40

    MathSciNet  MATH  Google Scholar 

  22. Savaş Eren R, Savaş E (2015) Double lacunary statistical convergence of order \(\alpha \). Indian J Math 57(1):11–15

    MathSciNet  MATH  Google Scholar 

  23. Schoenberg IJ (1959) The integrability of certain functions and related summability methods. Amer Math Monthly 66:361–375

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Uşak University, Uşak, Turkey

    Ekrem Savaş

Authors
  1. Ekrem Savaş
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  2. The University of Texas at San Antonio, San Antonio, TX, USA

    Kim-Kwang Raymond Choo

  3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    Saminathan Ponnusamy

  4. Technical University of Denmark, Kongens Lyngby, Denmark

    Weizhi Meng

  5. Department of Computer Engineering, Ondokuz Mayis University, Atakum, Turkey

    Sedat Akleylek

  6. Department of Information Technology, Indian Institute of Engineering Science and Technology, West Bengal, India

    Santi Prasad Maity

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Savaş, E. (2022). Some Sequence Spaces of Weight f. In: Giri, D., Raymond Choo, KK., Ponnusamy, S., Meng, W., Akleylek, S., Prasad Maity, S. (eds) Proceedings of the Seventh International Conference on Mathematics and Computing . Advances in Intelligent Systems and Computing, vol 1412. Springer, Singapore. https://doi.org/10.1007/978-981-16-6890-6_60

Download citation

Publish with us

Policies and ethics

Search

Navigation