Some remarks on I(Sθ)-summability via neutrosophic norm

Author:

Sharma Archana1,Kumar Vijay1,Ganaie Inayat1

Affiliation:

1. Department Of Mathematics, Chandigarh University, Mohali, Punjab, India

Abstract

For an admissible ideal I ? P(N) and a lacunary sequence ? = (ks), the aim of the present paper is to introduce the concept of I(S)-summability and I(S?)-summability w.r.t neutrosophic norm (G,B,Y). We also investigate some relations among these notions and prove that these are equivalent if and only if 1 < lim infs qs ? lim sup s qs < ?.

Publisher

National Library of Serbia

Reference30 articles.

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2. A. Sharma, S. Murtaza, V. Kumar, Some remarks on Δm(Iλ)-summability on neutrosophic normed spaces, International Journal of Neutrosophic Science (IJNS) 19 (2022) 68-81.

3. B. Hazarika, V. Kumar, Fuzzy real valued I-convergent double sequences in fuzzy normed spaces. Journal of Intelligent&Fuzzy Systems, 26(5), (2014). 2323-2332.

4. B. Hazarika, S. A. Mohiuddine, M. Mursaleen, Some inclusion results for lacunary statistical convergence in locally solid Riesz spaces. Iranian Journal of Science and Technology, 38(A1), (2014) 61.

5. D. Koundal, S. Gupta, S. Singh, Applications of neutrosophic sets in medical image denoising and segmentation. Infinite Study. (2016).

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