Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Uniform Convergence of a Sequence ofWeighted Bounded Exponentially Convex Functions on Foundation Semigroups

  • Ali, Hoda A. (Department of Mathematics, Faculty of Science, Al-Azhar University(girl))
  • Received : 2005.02.01
  • Published : 2006.09.23
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Abstract

In the present paper we shall prove that on a foundation *-semigroup S with an identity and with a locally bounded Borel measurable weight function ${\omega}$, the pointwise convergence and the uniform convergence of a sequence of ${\omega}$-bounded exponentially convex functions on S which are also continuous at the identity are equivalent.

Keywords

References

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