Properties of some functionals associated with h-concave and quasilinear functions with applications to inequalities (CROSBI ID 203459)
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Podaci o odgovornosti
Nikolova, Ludmila ; Varošanec, Sanja
engleski
Properties of some functionals associated with h-concave and quasilinear functions with applications to inequalities
We consider quasilinearity of the functional $(h \circ v)\cdot \Phi$, where $\Phi$ is a monotone h-concave (h-convex) function, v and g are functionals with certain super(sub)additivity properties. Those general results are applied to some special functionals generated with several inequalities such as the Jensen, Jensen-Mercer, Beckenbach, Chebyshev and Milne inequalities.
quasilinearity; h-concave function; the Jensen functional; the Chebyshev functional
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Podaci o izdanju
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2014.
30-1-30-17
objavljeno
1029-242X
10.1186/1029-242X-2014-30
Povezanost rada
Matematika