On some inequality of Hermite-Hadamard type

• Autorzy: Wąsowicz S. , Witkowski A.
• Języki publikacji: EN

Abstrakty

EN

It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal. We also present its counterpart of Fejér type.

Słowa kluczowe

EN

convex function; Hermite-Hadamard inequality; Fejer inequality; simplex; approximate integration

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 3
• Strony: 591--600
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Wąsowicz S.

autor

Witkowski A.

• University of Bielsko-Biała, Department of Mathematics and Computer Science, Willowa 2, 43–309 Bielsko-Biała, Poland,

Bibliografia

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