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Some Iyengar-type inequalities on time scales for functions whose second derivatives are bounded. (English) Zbl 1203.26031

Iyengar-type inequalities on time scales are established for functions whose second derivatives are bounded. The main tool is Steffensen’s inequality on time scales. Applying the results to different time scales some well-known and some new results can be obtained. For example in the special case \(\mathbb T=\mathbb R\) one gets the result of I. Franjić, J. Peĉarić and I. Perić [Appl. Math. Lett. 19, No. 7, 657–660 (2006; Zbl 1136.26005)].

MSC:

26E70 Real analysis on time scales or measure chains
26D10 Inequalities involving derivatives and differential and integral operators

Citations:

Zbl 1136.26005
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References:

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