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    • On a new mean and functions of bounded deviation

      B K Ray S K Ghosh

      Volume 109 Issue 2 May 1999 pp 203-209

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/109/02/0203-0209

    • Keywords

       

      Fractional integral mean; bounded deviation; bounded variation; bounded variation in the mean

    • Abstract

       

      The main purpose of the present paper is to introduce a new type of mean of a function and to study some of its special properties. In the last section we make use of this mean to show that a function of bounded deviation is not necessarily a function of bounded variation.

    • Author Affiliations

       

      B K Ray1 2 S K Ghosh1 3

      1. Department of Mathematics, Ravenshaw College, Cuttack - 753 003, India
      2. Plot No. 102, Saheed Nagar, Bhubaneswar - 751007, India
      3. Department of Mathematics, Khallikote College, Berhampur - 760001, India

    • Dates

       
      Published
      May 1999
      Manuscript received
      1 October 1997
      Manuscript revised
      15 December 1998

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