Note on some Iyengar integral inequalities

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  • Khaled Boukerrioua1,
  • Badreddine Meftah2,
  • Tarik Chiheb3,
  1. Lanos Laboratatory , University of Badji-Mokhtar, Annaba, Algeria.
  2. Laboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
  3. Laboratoire des Tlcommunications, Facult des Sciences et de la Technologie, Universit 8 Mai 1945 de Guelma,. P.O. Box 401, 24000 Guelma, Algeria.

Published in Issue 2025-11-09

How to Cite

Note on some Iyengar integral inequalities. (2025). Communications in Nonlinear Analysis, 3(2). https://oiccpress.com/cna/article/view/17899

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Abstract

In this short note, some Iyengar integral inequalities are established via new extension of Montgomeryidentity.

Keywords

  • Iyengar inequality,
  • lipchitzienne function,
  • Montgomery identity
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References

  1. [1] K. S. K. Iyengar, Note on an inequality, Math. Student, 6 (1938), 75-76.
  2. [2] G. V. Milovanovic, J. Pecaric, Some considerations on Iyengar's inequality and some related applications, Univ. BeogradPubl. Elektrotehn. Fak. Ser. Mat. Fiz., 544-576 (1976), 166-170.
  3. [3] D. S. Mitrinovi_c, J. E. Pecaric, A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, KluwerAcademic Publishers, Dordrecht, 1991.