OPIAL TYPE INEQUALITY IN SEVERAL VARIABLES

Authors

  • B. G. PACHPATTE Department of Mathematics and Statistics, Marathwada University, Aurangabad 431004, (Maharashtra), India.

DOI:

https://doi.org/10.5556/j.tkjm.22.1991.4562

Keywords:

integral inequality of Opial type

Abstract

In the present note we establish a new integral inequality of the Opial type mvolving a function of $n$ variables and its partial derivative. A corresponding result on the discrete analogue of the main result is also given.

References

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

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

B. G. Pachpatte, "On opial type inequalities in two independent variables," Proc. Roy. Soc. Edinburgh 100A (1985), 263-270.

B. G. Pachpatte, "On two independent variable Opial-type integral inequalities," J. Math. Anal. Appl. 125 (1987),47-57.

B. G. Pachpatte, "On two inequalities similar to Opial's inequality in two independent variables," Periodica Math. Hungarica 18 (1987), 137-141.

B.G. Pachpatte, "On multidimensional Opial-type inequalities," J. Math. Anal. Appl. 126 (1987), 85-89.

J.S.W. Wong, "A diserete analogue of Opial's inequality," Canad. Math. Bull. 10 (1967) 115-118.

G.S. Yang, "Inequality of Opial type in two variables," Tamkang J. Math. 13 (1982), 255-259.

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Published

1991-03-01

How to Cite

PACHPATTE, B. G. (1991). OPIAL TYPE INEQUALITY IN SEVERAL VARIABLES. Tamkang Journal of Mathematics, 22(1), 7-11. https://doi.org/10.5556/j.tkjm.22.1991.4562

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Section

Papers