ON INTEGRAL INEQUALITIES RELATED TO OPIAL'S INEQUALITY

Authors

  • TIAN-SHOW HWANG Department of Mathematics, Tamkang University, Tamsui, Taiwan 25137.
  • GOU-SHENG YANG Department of Mathematics, Tamkang University, Tamsui, Taiwan 25137.

DOI:

https://doi.org/10.5556/j.tkjm.21.1990.4654

Keywords:

Jensen’s inequality, absolutely continuous functions, generalizations of Opial’s integral inequality, Opial- type integral inequalities

Abstract

ON INTEGRAL INEQUALITIES RELATED TO OPIAL'S INEQUALITY

References

E. K. Godunova, and V. I. Levin, On an inequality of Maroni (Russian), Mat. Zametki 2, 221-224 (1967).

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, New York, 1970.

C. Olech, "A simple proof of a certain result of Z. Opial," Ann. Polon. Math., 8, 61-63 (1960).

Z. Opial, Sur une inegalite, Ann. Polon. Math., 8, 29-32 (1960).

B. G. Pachpatte, "On Opial-Godunova and Levin type inequalities," Tamkang J. Math., (to appear).

G. S. Yang, "On a certain result of Z. Opial," Proc. Japan Acad. 42, 78-83 (1966).

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Published

1990-06-01

How to Cite

HWANG, T.-S., & YANG, G.-S. (1990). ON INTEGRAL INEQUALITIES RELATED TO OPIAL’S INEQUALITY. Tamkang Journal of Mathematics, 21(2), 177–183. https://doi.org/10.5556/j.tkjm.21.1990.4654

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