Abstract
In this paper we introduce rough weighted statistical limit set and weighted statistical cluster points set which are natural generalizations of rough statistical limit set and statistical cluster points set of double sequences respectively. Some new examples are constructed to ensure the deviation of basic results. Both the sets don’t follow the usual extension properties which will be discussed here.
The research of the second author is supported by Jadavpur University, Kolkata-700032, West Bengal, India.
(Communicated by Ján Borsík)
Acknowledgement
We are thankful to the Editor and referees for their careful reading of the paper and several valuable suggestions which improved the quality and presentation of the paper.
References
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© 2019 Mathematical Institute Slovak Academy of Sciences
Articles in the same Issue
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- On EMV-Semirings
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- A geometrical version of Hardy-Rellich type inequalities
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- On the Gromov-Hausdorff limit of metric spaces
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Articles in the same Issue
- Regular papers
- On the finite embeddability property for quantum B-algebras
- A dual Ramsey theorem for finite ordered oriented graphs
- On EMV-Semirings
- A nonsymmetrical matrix and its factorizations
- On weakly 𝓗-permutable subgroups of finite groups
- The left Riemann-Liouville fractional Hermite-Hadamard type inequalities for convex functions
- A geometrical version of Hardy-Rellich type inequalities
- On a Choquet-Stieltjes type integral on intervals
- Uniqueness of meromorphic functions sharing four small functions on annuli
- A subclass of uniformly convex functions and a corresponding subclass of starlike function with fixed coefficient associated with q-analogue of Ruscheweyh operator
- Functions of bounded variation related to domains bounded by conic sections
- Unified solution of Fekete-Szegö problem for subclasses of starlike mappings in several complex variables
- Oscillatory criteria for the second order linear ordinary differential equations
- When deviation happens between rough statistical convergence and rough weighted statistical convergence
- The retraction of certain banach right modules associated to a character
- On sequence spaces generated by binomial difference operator of fractional order
- Some refinements of young type inequality for positive linear map
- On the Gromov-Hausdorff limit of metric spaces
- The beta exponentiated Nadarajah-Haghighi distribution: theory, regression model and application
- Hilbert algebras with supremum generated by finite chains