Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOME NEW ESTIMATES FOR EXPONENTIALLY (ħ, m)-CONVEX FUNCTIONS VIA EXTENDED GENERALIZED FRACTIONAL INTEGRAL OPERATORS

  • Received : 2019.07.17
  • Accepted : 2019.10.16
  • Published : 2019.12.30
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Abstract

In the article, we present several new Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for the exponentially (ħ, m)-convex functions via an extended generalized Mittag-Leffler function. As applications, some variants for certain typ e of fractional integral operators are established and some remarkable special cases of our results are also have been obtained.

Keywords

Acknowledgement

The authors would like to thank the Rector, COMSATS Institute of Information Technology, Pakistan, for providing excellent research and academic environments. Authors are grateful to the referees for their valuable comments and suggestions.

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