Weighted hardy type integral inequalities involving many functions

Main Article Content

Sabir Hussain
Muhammad Amer Latif
Waseem Akhtar

Abstract

The object of this paper is to derive some new weighted Hardy type integral inequalities involving many functions and to obtain a classical weighted Hardy type inequality involving many functions.

Article Details

How to Cite
Hussain, S., Latif, M. A., & Akhtar, W. (2012). Weighted hardy type integral inequalities involving many functions. Tamkang Journal of Mathematics, 43(2), 301–311. https://doi.org/10.5556/j.tkjm.43.2012.622
Section
Papers
Author Biographies

Sabir Hussain, Department ofMathematics, University of Engineering and Technology, Lahore, Pakistan.

Assistant Professor

Department: Aeronautics & Astronautics

 

Muhammad Amer Latif, E-mail: sabirhus@gmail.com Department ofMathematics, University of Hail, Hail, Saudi Arabia.

Lecturer

Department of Mathematics, University of Hail, Hail, Saudi Arabia.

Waseem Akhtar, Institute of Space Technology, Near Rawat Tool Plaza, Islamabad Highway, Islamabad.

Assistant Professor

Department: Aeronautics & Astronautics

References

W. S. Cheung, Z. Hanjs and J. Pecaric, Some Hardy-type inequalities, J. Math. Anal. Appl. 250(2) (2000), 621-634.

S. Hussain, M. A. Latif and M. Iqbal, Multidimensional Weighted Boas type inequality and related results with applications, Rocky Mountain Journal of Mathematics (to appear).

S. Hussain and J. Pecaric, Bounds for Multidimensional Hardy type Polya-Knopp dierences, Inequality Theory and Applications, Vol. 6, Nova Science Pub Inc, 2010, pp 213-231. ISBN: 978-1616686253.

Sabir Hussain, J. Pecaric, Bounds for Strengthened Hardy and Polya-Knopp's dierence, Rocky Mountain J. Math., 40 (2010), no. 3, pp 913-928.

S. Hussain, J. Pecaric, Bounds for Hardy dierences, Anziam J., (to appear)

G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, Cambridge, 1952.

G. H. Hardy, Notes on some points in the integral calculus, Messenger Math., 57 (1928), 12-16.

G. H. Hardy, Notes on a theorem of Hilbert, Math. Z., 6 (1920), 314-317.

D. S. Mitrinovic, Analytic Inequalities Berlin: Springer, 1970.

B. G. Pachpatte, On some variants of Hardy's inequality, J. Math. Anal. Appl., 124 (1987), 495-501.

B. G. Pachpatte, On some generalizations of Hardy's integral inequality, J. Math. Anal. Appl., 234(1) (1999), 15-30.

B. G. Pachpatte, On a new class of Hardy type inequalities, Proc. R. Soc. Edin., 105A (1987), 265-274.

J. E. Pecaric and E. R. Love, Still more generalizations of Hardy's inequality, J. Austral. Math. Soc. Ser. A, 58 (1995), 1-11.

B. Yang, Z. Zeng and L. Debnath, On New Generalizations of Hardy's Integral Inequality, J. Math. Anal. Appl., 217(1) (1998), 321-327.