Some Inequalities for Analytic Functions with a Finite Dirichlet Integral on the Unit Disc.
Analyticity and smoothing effect for the Schrödinger equation
New norm type inequalities for linear mappings.
Some isometrical identities in the wave equation.
Generalizations of the triangle inequality.
Stability of Lipschitz type in determination of initial heat distribution.
Representations of Inverse Functions by the Integral Transform with the Sign Kernel
Mathematics Subject Classification: Primary 30C40 In this paper we give practical and numerical representations of inverse functions by using the integral transform with the sign kernel, and show corresponding numerical experiments by using computers. We derive a very simple formula from a general idea for the representation of the inverse functions, based on the theory of reproducing kernels.
Reverse convolution inequalities and applications to inverse heat source problems.
Convolution inequalities and applications.
Reverse weighted - norm inequalities in convolutions.
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