The quasilinearity of some functionals associated with the Riemann–Stieltjes integral IEMANN–STIELTJES INTEGRAL

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Dragomir, Sever S and Fedotov, I (2011) The quasilinearity of some functionals associated with the Riemann–Stieltjes integral IEMANN–STIELTJES INTEGRAL. Bulletin of the Australian Mathematical Society, 84 (1). pp. 53-66. ISSN 0004-9727 (print) 1755-1633 (online)

Abstract

The superadditivity and subadditivity of some functionals associated with the Riemann–Stieltjes integral are established. Applications in connection to Ostrowski’s and the generalized trapezoidal inequalities and for special means are provided.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7643
DOI 10.1017/S0004972710002042
Official URL https://doi.org/10.1017/S0004972710002042
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0802 Computation Theory and Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID22870, Riemann–Stieltjes integral, superadditivity, subadditivity, Ostrowski’s inequality, special means
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