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.
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.
