Weighted generalizations of Iyengar type inequalities (CROSBI ID 128497)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Franjić, Iva ; Pečarić, Josip ; Perić, Ivan
engleski
Weighted generalizations of Iyengar type inequalities
Weighted Iyengar type inequalities for functions whose higher derivatives satisfy the Lipschitz condition are given. These results generalize results obtained in [G.V.Milovanović, O nekim funkcionalnim nejednakostima, Univ.Beograd. Publ. Elektrotehn. Fak., Ser. Mat. Fiz. 599(1977), 1-59. ], [G.V.Milovanović, J.Pečarić, Some considerations on Iyengar's inequality and some related applications, Univ.Beograd. Publ. Elektrotehn. Fak., Ser. Mat. Fiz. 544 - 576 (1976), 166-170.] and [A.Guessab, G.Schmeisser, Sharp integral inequalities of the Hermite- Hadamard type, Journal of Approximation Theory 115(2), (2002), 260-288.].
Iyengar's inequality; Lipschitz functions; weighted inequalities; Ostrowski's inequality
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