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Statistical convergence in partial metric spaces
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Let $X$ be a partial metric space generated by a partial metric $p$. In this paper, we introduce the notions of statistical convergence and strongly Ces\`{a}ro summability in partial metric spaces. Also, we investigate the relations between the statistical convergence and strongly Ces\`{a}ro summability.
Abstract
Let $X$ be a partial metric space generated by a partial metric $p$. In this paper, we introduce the notions of statistical convergence and strongly Ces\`{a}ro summability in partial metric spaces. Also, we investigate the relations between the statistical convergence and strongly Ces\`{a}ro summability.
참고문헌 (18)
- J. Connor, "The statistical and strong p-Ces`aro convergence of sequences", Analysis, 8, pp.46~63 (1988)
- J. Connor, "On strong matrix summability with respect to a modulus and statistical convergence", Canad. Math. Bull., 32(2), pp.194~198 (1989)
- J. A. Fridy, "On statistical convergence", Analysis, 5, pp.301~313 (1985)
- J. A. Fridy, "Lacunary statistical summability", J. Math. Anal. Appl, 173, pp.497~504 (1993)
- J. A. Fridy, "Statistical limit superior and limit inferior", Proc. Amer. Math. Soc, 125(12), pp.3625~3631 (1997)
- J. A. Fridy, "Tauberian theorems via statistical convergence", J. Math. Anal. Appl, 228, pp.73~95 (1998)
- H. Fast, "Sur la convergence statistique", Colloq. Math, 2, pp.241~244 (1951)
- A. D. Gadjiev, "Some approximation theorems via statistical convergence", Rocky Mountain J. Math, 32(1), pp.129~138 (2002)[DOI]
- G. Lorentz, "A contribution to the theory of divergent sequences", Acta Math, 80, pp.167~190 (1948)
- I. J. Maddox, "A new type of convergence", Math. Proc. Cambridge Philos. Soc, 83, pp.61~64 (1978)
- S. G. Matthews, "Partial metric topology", Ann. New York Acad. Sci., 728, pp.183~197 (1994)
- H. I. Miller, "A measure theoretical subsequence characterization of statistical convergence", Trans. Amer. Math. Soc, 347, pp.1811~1819 (1995)
- Two topologies are better than one, "S. J. O’Neill", University of Warwick. Department of Computer Science, ~, pp.CSRR-283 (1995)
- S. Pehlivan, "Statistical cluster points and turnpikes", Optimization, 48, pp.93~106 (2000)
- T. Sal´at, "On statistically convergent sequences of real numbers", Math. Slovaca, 30, pp.139~150 (1980)
- I. J. Schoenberg, "The integrability of certain functions and related summability methods", Amer. Math. Monthly, 66, pp.361~375 (1959)
- H. Steinhaus, "Sur la convergence ordinaire et la convergence asymptotique", Colloq. Math, 2, pp.73~74 (1951)
- A. Zygmund, "Trigonometric series" (1979), Cambridge University Press
관련 논문AI추천
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