A NOTE ON AN INEQUALITY SIMILAR TO OPIAL'S INEQUALITY
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Abstract
In the present note we establish a new inequality similar to Opial's inequality by using a fairly elementary analysis.
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References
G. A. Anastassiou, Opial type inequalities for linear differential operators, Math. Inequali ties and Appl. 1 (1998), 193-200.
E. A. Coddington, An Introduction to Ordinary Differential Equations, Prentice-Hall, Inc., Englewood Cliffs, 1961.
D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, Berlin, New York, 1970.
Z. Opial, Sur une inegalite, Ann. Polon. Math. 8 (1960), 29-32.
D. G. Pachpatte, On Opial-type integral inequalities, J. Math. Anal. Appl. 120 (1986), 5~7-556.
B. G. Pachpatte, On inequalities of Opial type, Demonstratio Mathematica 25 (1992), 35-45.
B. G. Pachpatte, A note on inequalities related to Opial's inequality, Indian J. Pure Appl Math. 25 (1994), 1031-1037.
B. G. Pachpatte, On Opial type inequalities involving higher order derivatives, J. Math. Anal. Appl. 190 (1995), 763-773.