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ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES

Year 2019, Volume: 1 Issue: 1, 18 - 25, 18.01.2019
https://izlik.org/JA48MJ28NN

Abstract

In this paper we introduce some geometrical and topological properties of
weighted Lebesgue sequence spaces 𝑙𝑝,𝑤 as a generalization of the Lebesgue
sequences spaces 𝑙𝑝 , where 𝑤 a weighted sequence.

References

  • Agarwal, R. P. and O'Regan, D. and Sagu, D. R. (2009) Fixed Point for Lipschitziantype Mapping with Applications. Springer Science Business Media, New York.
  • Castillo, R. E. and Rafeiro, H. (2016) An Intorductory Course in Lebesgue Spaces. Springer International Publishing, Switzerland.
  • Carother's, N. L. 2005. A Short Course on Banach Spaces Theory. Cambridge University Press, Cambridge.
  • Clarkson, J., 1936. Uniformly Convex Spaces, Trans. Amer. Math. Soc., 40(3): 396-414.
  • Mitronovic, D.S. , Pecaric, J.E. and Fink, A.M. 1993. Classical and New Inequalities in Analysis. Kluver Academic Publishers.
  • Nesin, A. 2012. Analiz 2. Nesin Yayıncılık.
  • Oğur, O. 2018. Some Geometric Properties of Weighted Lebesgue Spaces L_{p,w}(G), Facta Universitatis, Series: Mathematics and Informatics, In press.
  • Yeh, J. 2006. Real Analysis: Theory of Measure and Integration (Second Edition). World Scientific Publishing.
  • Lashkaripour, R. 1997. Lower Bounds and Norms of Operators on Lorentz Sequence Spaces. Doctoral Dissertation. Lancaster.
  • Popa, N. 1981. Basic Sequences and Subspaces in Lorentz Sequence Spaces without Local Convexity. Transactions of the American Mathematical Society, vol 263, no:2, pp 431-456.
  • Savaş, E., Karakaya, V., Şimşek, N. 2009. Some l(p)-type New Sequence Spaces and Their Geometric Properties . Abstract and Applied Analysis, Article ID 696971, 12 pages doi:10.1155/2009/696971.

Year 2019, Volume: 1 Issue: 1, 18 - 25, 18.01.2019
https://izlik.org/JA48MJ28NN

Abstract

References

  • Agarwal, R. P. and O'Regan, D. and Sagu, D. R. (2009) Fixed Point for Lipschitziantype Mapping with Applications. Springer Science Business Media, New York.
  • Castillo, R. E. and Rafeiro, H. (2016) An Intorductory Course in Lebesgue Spaces. Springer International Publishing, Switzerland.
  • Carother's, N. L. 2005. A Short Course on Banach Spaces Theory. Cambridge University Press, Cambridge.
  • Clarkson, J., 1936. Uniformly Convex Spaces, Trans. Amer. Math. Soc., 40(3): 396-414.
  • Mitronovic, D.S. , Pecaric, J.E. and Fink, A.M. 1993. Classical and New Inequalities in Analysis. Kluver Academic Publishers.
  • Nesin, A. 2012. Analiz 2. Nesin Yayıncılık.
  • Oğur, O. 2018. Some Geometric Properties of Weighted Lebesgue Spaces L_{p,w}(G), Facta Universitatis, Series: Mathematics and Informatics, In press.
  • Yeh, J. 2006. Real Analysis: Theory of Measure and Integration (Second Edition). World Scientific Publishing.
  • Lashkaripour, R. 1997. Lower Bounds and Norms of Operators on Lorentz Sequence Spaces. Doctoral Dissertation. Lancaster.
  • Popa, N. 1981. Basic Sequences and Subspaces in Lorentz Sequence Spaces without Local Convexity. Transactions of the American Mathematical Society, vol 263, no:2, pp 431-456.
  • Savaş, E., Karakaya, V., Şimşek, N. 2009. Some l(p)-type New Sequence Spaces and Their Geometric Properties . Abstract and Applied Analysis, Article ID 696971, 12 pages doi:10.1155/2009/696971.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Birsen Sağır

İrem Alaşalvar This is me

Acceptance Date January 24, 2019
Publication Date January 18, 2019
IZ https://izlik.org/JA48MJ28NN
Published in Issue Year 2019 Volume: 1 Issue: 1

Cite

APA Sağır, B., & Alaşalvar, İ. (2019). ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES. Ikonion Journal of Mathematics, 1(1), 18-25. https://izlik.org/JA48MJ28NN
AMA 1.Sağır B, Alaşalvar İ. ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES. ikjm. 2019;1(1):18-25. https://izlik.org/JA48MJ28NN
Chicago Sağır, Birsen, and İrem Alaşalvar. 2019. “ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES”. Ikonion Journal of Mathematics 1 (1): 18-25. https://izlik.org/JA48MJ28NN.
EndNote Sağır B, Alaşalvar İ (January 1, 2019) ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES. Ikonion Journal of Mathematics 1 1 18–25.
IEEE [1]B. Sağır and İ. Alaşalvar, “ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES”, ikjm, vol. 1, no. 1, pp. 18–25, Jan. 2019, [Online]. Available: https://izlik.org/JA48MJ28NN
ISNAD Sağır, Birsen - Alaşalvar, İrem. “ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES”. Ikonion Journal of Mathematics 1/1 (January 1, 2019): 18-25. https://izlik.org/JA48MJ28NN.
JAMA 1.Sağır B, Alaşalvar İ. ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES. ikjm. 2019;1:18–25.
MLA Sağır, Birsen, and İrem Alaşalvar. “ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES”. Ikonion Journal of Mathematics, vol. 1, no. 1, Jan. 2019, pp. 18-25, https://izlik.org/JA48MJ28NN.
Vancouver 1.Birsen Sağır, İrem Alaşalvar. ON GEOMETRİC PROPERTIES OF WEIGHTED LEBESGUE SEQUENCE SPACES. ikjm [Internet]. 2019 Jan. 1;1(1):18-25. Available from: https://izlik.org/JA48MJ28NN