Convergence theorems for varying measures under convexity conditions and applications

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SUMMARY

    Convergence results for varying measures have significant applications to various fields of pure and applied sciences including stochastic processes, statistics, control and game theories, transportation problems, neural_networks, signal and image processing (see, for example, ). The authors go further and continue the investigation started, providing conditions to ensure convergence results for a sequence of functions (fn )n integrable with respect to the measures of a sequence (mn )n, when the functions satisfy a convexity condition. In Sect 2, after the Introduction, convergence theorems for varying measures are given when the sequence of functions (fn )n . . .

     

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