• On a new mean and functions of bounded deviation

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    • 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

  • Proceedings – Mathematical Sciences | News

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