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Some improvements of Hölder’s inequality on time scales. (English) Zbl 1424.26075
Summary: The theory and applications of dynamic derivatives on time scales have recently received considerable interest. In this paper, we define a function using the combined diamond-$$\alpha$$ integral, investigate its monotonicity and give some refinements for Hölder’s inequality. We present some applications for $$\mathbb Z$$ and $$\mathbb R$$.
##### MSC:
 26E70 Real analysis on time scales or measure chains 26D15 Inequalities for sums, series and integrals
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