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Some New I-Lacunary Generalized Difference Sequence Spaces in n-Normed Space

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Modern Mathematical Methods and High Performance Computing in Science and Technology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 171))

Abstract

In this paper, we introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using, infinite matrix, lacunary sequences with respect to a sequence of modulus functions and difference operator defined on n-normed space. We study these spaces for some linear topological structures and algebraic properties. We also give some inclusion relations for these sequence spaces.

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Acknowledgments

The author would like to record his gratitude to his referees for their careful reading and making some useful corrections which improve the presentation of the paper.

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Authors and Affiliations

  1. Dapartment of Mathematics, National Institute of Technology, Hazratbal, Srinagar, 190006, India

    Tanweer Jalal

Authors
  1. Tanweer Jalal
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Correspondence to Tanweer Jalal .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H.M. Srivastava

  3. Dipartimento di Matematica, University of Turin, Torino, Italy

    Ezio Venturino

  4. High Performance Computing Center (HLRS), University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Michael Resch

  5. Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India

    Vijay Gupta

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Jalal, T. (2016). Some New I-Lacunary Generalized Difference Sequence Spaces in n-Normed Space. In: Singh, V., Srivastava, H., Venturino, E., Resch, M., Gupta, V. (eds) Modern Mathematical Methods and High Performance Computing in Science and Technology. Springer Proceedings in Mathematics & Statistics, vol 171. Springer, Singapore. https://doi.org/10.1007/978-981-10-1454-3_21

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