Triangle inequality for quantum integral operator
Abstract:
We show that general integral triangle inequality doesn't hold for shifted
-integrals. Furthermore, we obtain a triangle inequality for shifted q-integrals.
We also give an estimate for -integrable product and use it to refine some
recently obtained Ostrowski inequalities for quantum calculus.
Keywords:
q-derivative, q-integral, integral triangle inequality, Ostrowski inequality
Authors:
Andrea Aglić Aljinović, Ilko Brnetić, Ana Žgaljić Keko
Triangle inequality for quantum integral operator |
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573.6KB |