Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/1029-242X-2014-121
Keywords
q-integral inequalities; Holder's inequality; Hermite-Hadamard's inequality; Ostrowski's inequality; Gruss-Cebysev integral inequality
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Funding
- King Mongkut's University of Technology North Bangkok, Thailand
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In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Holder, Hermite-Hadamard, trapezoid, Ostrowski, Cauchy-Bunyakovsky-Schwarz, Gruss, and Gruss-Cebysev integral inequalities. The analysis relies on the notions of q-derivative and q-integral on finite intervals introduced by the authors in (Tariboon and Ntouyas in Adv. Differ. Equ. 2013: 282, 2013).
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