Geodesic
On slater like inequality for vectors transformed by a doubly stochastic matrix with control function
Filomat, Tome 36 (2022) no. 6, p. 1937

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DOI

In this work, we deal with a Slater type inequality designed for a symmetric convex function and for a collection of vectors transformed by a doubly stochastic matrix. In doing so, we use an additional convex control function. In the case when the composition of the control function and of the underlying convex function is Schur-concave, such an approach leads to a refinement of the standard Slater inequality. Special cases are also considered.
DOI : 10.2298/FIL2206937N
Classification : 26B25, 26D10, 26D15, 52A41
Keywords: convex function, gradient inequality, Slater inequality, majorization, doubly stochastic matrix, Schur-concave function 
Marek Niezgoda. On slater like inequality for vectors transformed by a doubly stochastic matrix with control function. Filomat, Tome 36 (2022) no. 6, p. 1937 . doi: 10.2298/FIL2206937N
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     author = {Marek Niezgoda},
     title = {On slater like inequality for vectors transformed by a doubly stochastic matrix with control function},
     journal = {Filomat},
     pages = {1937 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206937N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206937N/}
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