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Applications of non-Newtonian calculus for classical spaces and Orlicz functions

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Abstract

The objective of this paper is to introduce and study some sequence spaces over the geometric complex numbers by means of Museilak–Orlicz function. We make an effort to study some topological properties and inclusion relations between these sequence spaces. Moreover, by using the concept of non-Newtonian calculus we prove the completeness of the spaces.

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Acknowledgements

The authors express their sincere thank to the referees for their careful reading and valuable suggestions which improved the presentation of the paper.

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Authors and Affiliations

  1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, J&K, 182320, India

    Kuldip Raj & Charu Sharma

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  1. Kuldip Raj
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  2. Charu Sharma
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Correspondence to Kuldip Raj.

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Raj, K., Sharma, C. Applications of non-Newtonian calculus for classical spaces and Orlicz functions. Afr. Mat. 30, 297–309 (2019). https://doi.org/10.1007/s13370-018-0646-5

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  • DOI: https://doi.org/10.1007/s13370-018-0646-5

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