ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY

ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY

In this article new estimates on some quadrature rules are given using weighted Hermite-Hadamard inequality for higher order convex functions and weighted version of the integral identity expressed by w-harmonic sequences of functions. Obtained results are applied to weighted one-point formula for n...

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Veröffentlicht in:Applicable analysis and discrete mathematics 2022-04, Vol.16 (1), p.232-245
Hauptverfasser: Barić, Josipa, Kvesić, Ljiljanka, Pečarić, Josip, Penava, Mihaela Ribičić
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creator Barić, Josipa
Kvesić, Ljiljanka
Pečarić, Josip
Penava, Mihaela Ribičić
description In this article new estimates on some quadrature rules are given using weighted Hermite-Hadamard inequality for higher order convex functions and weighted version of the integral identity expressed by w-harmonic sequences of functions. Obtained results are applied to weighted one-point formula for numerical integration in order to derive new estimates of the definite integral values.
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title ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY
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