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The optimal fitness function, operator functions, linking function and learning algorithm were obtained for modeling daily suspended sediment.
The present paper deals with the study of a generalized Mittag-Leffler function operator.
We would like to remark that the usual harmonic analyses, like the Calderón-Zygmund operator, the maximal function operator and the sharp maximal function operator, are not suitable for our estimates due to (p(x)) being a variable function.
There, they invented a new iteration-covering approach, which is completely free from harmonic analysis, in order to avoid the use of the maximal function operator.
This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007).
Note that the variational inequalities (1.1) are concerned with the Lorentz space with variable exponent powers (p(x)) of the gradient of weak solution, so that the techniques from harmonic analysis, like the Calderón-Zygmund operator, the maximal function operator and the sharp maximal function operator, might not be suitable for our estimates.
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Namely, we study operator Lipschitz functions, operator Hölder functions, operator differentiable functions.
We study the class of operator Lipschitz functions, operator differentiable functions, operator Hölder functions, obtain Schatten von Neumann estimates for operator differences.
This includes: Genotype Population initialization Fitness function Selection operator Crossover operator Mutation operator.
Russell used the phrase "molecular proposition" for those propositions that are compounded using truth-function operators.
then is called Green's function of operator with the additional condition.
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