• Title/Summary/Keyword: mathematical terms

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AN UPPER BOUND OF THE RECIPROCAL SUMS OF GENERALIZED SUBSET-SUM-DISTINCT SEQUENCE

  • Bae, Jaegug
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.223-230
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    • 2008
  • In this paper, we present an upper bound of the reciprocal sums of generalized subset-sum-distinct sequences with respect to the first terms of the sequences. And we show the suggested upper bound is best possible. This is a kind of generalization of [1] which contains similar result for classical subset-sum-distinct sequences.

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INFINITE SERIES ASSOCIATED WITH PSI AND ZETA FUNCTIONS

  • KIM, YONGSUP
    • Honam Mathematical Journal
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    • v.22 no.1
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    • pp.53-60
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    • 2000
  • We evaluate some interesting families of infinite series expressed in terms of the Psi (or Digamma) and Zeta functions by analyzing the well-known identity associated with $_3F_2$ due to Watson. Some special cases are also considered.

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THE BERGMAN KERNEL FUNCTION AND THE DENSITY THEOREMS IN THE PLANE

  • Jeong, Moonja
    • Bulletin of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.115-123
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    • 1994
  • The Bergman kernel is closely connected to mapping problems in complex analysis. For example, the Riemann mapping function is witten down in terms of the Bergman kernel. Hence, information about the bergman kernel gives information about mappings. In this note, we prove the following theorem.

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NORM ESTIMATE FOR A CERTAIN MAXIMAL OPERATOR

  • Jong-In Lee;Yoon Jae Yoo
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.11-21
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    • 1998
  • A condition for a certain maximal operator to be of strong type (p,p) is characterized in terms of Carleson measure.

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THE GENERALIZED NORMAL STATE SPACE AND UNITAL NORMAL COMPLETELY POSITIVE MAP

  • Sa Ge Lee
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.237-257
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    • 1998
  • By introducing the notion of a generalized normal state space, we give a necessary and sufficient condition for that there exists a unital normal completely map from a von Neumann algebra into another, in terms of their generalized normal state spaces.

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