On statistical convergence of order α of sequences in gradual normed linear spaces
-
Chiranjib Choudhury
,
Bijoy Das
and
Shyamal Debnath
Abstract
In the current paper, we introduce the notion of statistical convergence of order α and strongly p-Cesàro summability of order α of sequences in the gradual normed linear spaces. We investigate several properties and a few inclusion relations of the newly introduced notions.
Funding source: University Grants Commission
Award Identifier / Grant number: 16-6(DEC. 2018)/2019(NET/CSIR)
Funding statement: The first author is grateful to the University Grants Commission, India, for their fellowships funding under the UGC-SRF scheme (No. 16-6(DEC. 2018)/2019(NET/CSIR)) during the preparation of this paper.
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Articles in the same Issue
- Frontmatter
- New analytical technique to solve fractional-order Sharma–Tasso–Olver differential equation using Caputo and Atangana–Baleanu derivative operators
- Nondensely defined partial neutral functional integrodifferential equations with infinite delay under the light of integrated resolvent operators
- On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations
- On ℐ2(𝒮θ p,r )-summability of double sequences in neutrosophic normed spaces
- Earthquake convexity and some new related inequalities
- On λ-statistically φ-convergence
- Multivalued relation-theoretic weak contractions and applications
- Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup
- Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations
- Existence and linear independence theorem for linear fractional differential equations with constant coefficients
- A study on δ‐ℐ‐compactness in a mixed fuzzy ideal topological space
- Lie symmetry, exact solutions and conservation laws of time fractional Black–Scholes equation derived by the fractional Brownian motion
- On statistical convergence of order α of sequences in gradual normed linear spaces
- Uniqueness of meromorphic functions and their powers in set sharing
- Multiplicative 𝔪-metric space, fixed point theorems with applications in multiplicative integrals equation and numerical results
- Note on bounds on the coefficients of a subclass of m-fold symmetric bi-univalent functions
- Multiple solitons, periodic solutions and other exact solutions of a generalized extended (2 + 1)-dimensional Kadomstev--Petviashvili equation
