New Types of Q-Integral Inequalities

Waadallah T. Sulaiman

doi:10.4236/apm.2011.13017

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Advances in Pure Mathematics > Vol.1 No.3, May 2011

New Types of Q-Integral Inequalities ()

Waadallah T. Sulaiman

DOI: 10.4236/apm.2011.13017 PDF HTML 7,480 Downloads 14,119 Views Citations

Abstract

Several new q-integral inequalities are presented. Some of them are new, One concerning double integrals, and others are generalizations of results of Miao and Qi [1]. A new key lemma is proved as well.

Keywords

Q-Integral Inequalities

Share and Cite:

W. Sulaiman, "New Types of Q-Integral Inequalities," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 77-80. doi: 10.4236/apm.2011.13017.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Y. Miao and F. Qi, “Several Q-Integral Inequalities,” Journal of Mathematical Inequalities, Vol. 3, No. 1, 2009, pp. 115-121.
[2]	E. W. Weisstein, “q-derivative,” From Math World - A Wolfram Web Resource, 2010. http://math-world.wolfram.com/q-Deriative.html
[3]	E. W. Weisstein, “q-Integral,” Math World—A Wolfram Web Resource, 2010. http://mathworld. wolfram.com/q-Integral.html
[4]	V. Kac and P. Cheung, “Quantum Calculus,” “Universitex, Springer-Verlag, New York, 2002. doi:10.1007/978-1-4613-0071-7
[5]	K. Brahim, N. Bettaibi and M. Sellemi, “On Some Feng Qi Type q-Integral Inequalities,” Journal of Inequalities in Pure and Applied Mathematics, Vol. 9, No. 2, 2008, Art. 43.