A NOTE ON GENERALIZED OPIAL TYPE INEQUALITIES

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B. G. PACHPATTE

Abstract




In the present note we establish some new inequalities involv- ing integrals of functions and their derivatives which in the special cases yield the well known Opial inequality and some of its generalizations.




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How to Cite
PACHPATTE, B. G. (1993). A NOTE ON GENERALIZED OPIAL TYPE INEQUALITIES. Tamkang Journal of Mathematics, 24(2), 229–235. https://doi.org/10.5556/j.tkjm.24.1993.4494
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Papers

References

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

A. Kufner, 0 . John and S. Fucik, '1Function spaces", Noordhoff International Publishing Leyden, 1977.

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

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

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

B. G. Pachpatte, "On integral inequalities similar to Opial's inequality", Demonstratio Math. 22 (1989), 21-27.

G. I. Rozanova, "Integral inequalities with derivatives and with arbitrary convex functions (Russian)", Moskov. Gos. Ped. Jn,9t. Veen Zap. 460 (1972), 58-65.

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