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- VOLUME 4, 2013 NUMBER 4
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VOLUME 4, 2013 NUMBER 4
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(The Eurasian National University, 2013)Hausdorff operators (Hausdorff summability methods) appeared long ago aiming to solve certain classical problems in analysis. Modern theory of Hausdorff operators started with the work of Siskakis in complex analysis setting ...
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(The Eurasian National University, 2013)
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(The Eurasian National University, 2013)We consider the Cauchy problem for Volterra integro-differential second-order linear equations which describe an evolution of dynamical systems with infinite numbers of degrees of freedom taking into account relaxation ...
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(The Eurasian National University, 2013)Two-sided estimates are established for two types of generalized Hardy operators on the cones of functions in weighted Lebesgue spaces with some properties of monotonicity. In this paper we continue the proofs given in [9] ...
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(The Eurasian National University, 2013)
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(The Eurasian National University, 2013)For monotonic functions necessary and sufficient conditions are investigated ensuring the equivalence of a function and of an integral containing that function. Factorization theorems (Schur tests) are proved for the ...
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(The Eurasian National University, 2013)In this paper two-weighted inequalities for the Hardy operator and its dual operator acting from one weighted variable Lebesgue space to another weighted variable Lebesgue space are proved. In particular, sufficient ...