논문KCI 등재
On weighted generalization of opial type inequalities in two variables
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In this paper, we establish some weighted generalization of Opial type inequalities in two independent variables for two functions. We also obtain weighted Opial type inequalities by using $p$-norms. Special cases of our results reduce to the inequalities in earlier study.
Abstract
In this paper, we establish some weighted generalization of Opial type inequalities in two independent variables for two functions. We also obtain weighted Opial type inequalities by using $p$-norms. Special cases of our results reduce to the inequalities in earlier study.
참고문헌 (28)
- R. P. Agarwal, "Sharp opial-type inequalities in two variables", Appl Anal, 56(3), pp.227~242 (1996)
- H. Budak, "Generalizations of Opial type inequalities in two variables using pnorms", Transylvanian Journal of Mathematics and Mechanics, 11(1-2), pp.63~75 (2019)
- Z. Changjian, "On improvements of Opial-type inequalities", Georgian Mathematical Journal, 21(4), pp.415~419 (2014)
- W. S. Cheung, "Some new Opial-type inequalities", Mathematika, 37, pp.136~142 (1990)
- W. S. Cheung, "Some generalized Opial-type inequalities", J. Math. Anal. Appl, 162, pp.317~321 (1991)
- W. S. Cheung, "On Opial-type inequalities in two variables", Aequationes Mathematicae, 38, pp.236~244 (1989)
- W. S. Cheung, "Opial-type inequalities with m functions in n variables", Mathematika, 39(2), pp.319~326 (1992)
- S. S. Dragomir, "Generalizations of Opial´ıs inequalities for two functions and applications", Preprint RGMIA Res. Rep. Coll, 21 (2018)
- C. T. Lin, "A generalized Opial’s inequality in two variables", Tamkang J. Math, 15, pp.115~122 (1984)
- Z. Opial, "Sur une inegaliti", Ann. Polon. Math, 8, pp.29~32 (1960)
- B. G. Pachpatte, "On Opial-type integral inequalities", J. Math. Anal. Appl, 120, pp.547~556 (1986)
- B. G. Pachpatte, "Some inequalities similar to Opial’s inequality", Demonstratio Math, 26, pp.643~647 (1993)
- B. G. Pachpatte, "A note on some new Opial type integral inequalities", Octogon Math. Mag, 7, pp.80~84 (1999)
- B. G. Pachpatte, "On some inequalities of the Weyl type", An. Stiint. Univ. “Al.I. Cuza” Iasi, 40, pp.89~95 (1994)
- B. G. Pachpatte, "On Opial type integral inequalities", J. Math. Analy. Appl, 120, pp.547~556 (1986)
- B. G. Pachpatte, "On two inequalities similar to Opial’s inequality in two independent variables", Periodica Math. Hungarica, 18, pp.137~141 (1987)
- B. G. Pachpatte, "On an inequality of opial type in two variables", Indian J. Pure Appl. Math, 23(9), pp.657~661 (1992)
- B. C. Pachpatte, "On two independent variable Opial-type integral inequalities", J. Math. Anal. Appl, 125, pp.47~57 (1987)
- B.C. Pachpatte, "On Opial type inequalities in two independent variables", Proc. Royal Soc. Edinburgh, 100A, pp.263~270 (1985)
- B. C. Pachpatte, "On certain two dimensional integral inequalities", Chinese J. Math, 17(4), pp.273~279 (1989)
- B. C. Pachpatte, "On multidimensional Opial-type inequalities", J. Math. Anal. Appl, 126(1), pp.85~89 (1987)
- B. C. Pachpatte, "On some new integral inequalities in ceveral independent variables", Chinese Journal of Mathematics, 14(2), pp.69~79 (1986)
- B. C. Pachpatte, "Inequalities of Opial type in three independent variables", Tamkang Journal of Mathematics, 35(2), pp.145~158 (2004)
- H. M. Srivastava, "Some weighted Opialtype inequalities on time scales", Taiwanese J. Math, 14, pp.107~122 (2010)
- J. Traple, "On a boundary value problem for systems of ordinary differential equations of second order", Zeszyty Nauk. Univ. Jagiello. Prace Mat, 15, pp.159~168 (1971)
- C. -J. Zhao, "On Opial-type integral inequalities and applications", Math. Inequal. Appl, 17(1), pp.223~232 (2014)
- G. S. Yang, "Inequality of Opial-type in two variables", Tamkang J. Math, 13, pp.255~259 (1982)
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