• Title/Summary/Keyword: Strong Cesaro summability

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ON STATISTICAL AND p-CESARO CONVERGENCE OF FUZZY NUMBERS

  • Kwon, Joong-Sung
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.195-203
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    • 2000
  • In this paper, the concept of strongly p-Cesaro summability of sequences of fuzzy numbers is introduced. The relationship between statistical convergence and strongly p-Cesaro summability is discussed.

LACUNARY STATISTICAL CONVERGENCE FOR SEQUENCE OF SETS IN INTUITIONISTIC FUZZY METRIC SPACE

  • KISI, OMER
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.69-83
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    • 2022
  • We investigate the concept of lacunary statistical convergence and lacunary strongly convergence for sequence of sets in intuitionistic fuzzy metric space (IFMS) and examine their characterization. We obtain some inclusion relation relating to these concepts. Further some necessary and sufficient conditions for equality of the sets of statistical convergence and lacunary statistical convergence for sequence of sets in IFMS have been established. The concept of strong Cesàro summability in IFMS has been defined and some results are established.

ON ASYMPTOTICALLY f-ROUGH STATISTICAL EQUIVALENT OF TRIPLE SEQUENCES

  • SUBRAMANIAN, N.;ESI, A.
    • Journal of applied mathematics & informatics
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    • v.37 no.5_6
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    • pp.459-467
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    • 2019
  • In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

On The Sets of f-Strongly Cesàro Summable Sequences

  • Ibrahim Sulaiman Ibrahim;Rifat Colak
    • Kyungpook Mathematical Journal
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    • v.64 no.2
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    • pp.235-244
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    • 2024
  • In this paper, we establish relations between the sets of strongly Cesàro summable sequences of complex numbers for modulus functions f and g satisfying various conditions. Furthermore, for some special modulus functions, we obtain relations between the sets of strongly Cesàro summable and statistically convergent sequences of complex numbers.