Generalizations of Sherman's theorem by Taylor's formula (CROSBI ID 241428)
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Podaci o odgovornosti
Ivelić Bradanović, Slavica ; Latif, Naveed ; Pečarić, Josip
engleski
Generalizations of Sherman's theorem by Taylor's formula
Extensions of Sherman’s theorem to convex functions of higher order and to real weights are obtained by using Taylor’s formula. New upper bounds for Sherman’s difference and generalized inequalities are established. Some related Cauchy-type means are discussed.
n-convexity ; Sherman’s theorem ; Taylor interpolating polynomial ; Cebyšev functional ; Gruss type inequalities ; Ostrowski type inequalities ; exponentially convex functions ; log-convex functions ; means
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Podaci o izdanju
Povezanost rada
Matematika