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The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a SimplexIn the problem of summation over lattice points of a simplex we find an analog of the Euler

Spaces of generalised smoothness in summability problems for Φ- means of spectral decompositionSpaces of generalised smoothness in summability problems for Φ- means of spectral decomposition

Spaces of generalised smoothness in summability problems for Φ-means of spectral decompositionSpaces of generalised smoothness in summability problems for Φ-means of spectral decomposition

Summation of Functions and Polynomial Solutions to a Multidimensional Difference EquationWe define a set of polynomial difference operators which allows us to solve the summation problem

Solving the Hyperbolic Equation in Elementary FunctionsThe classical problem about oscillation of music strings is considered. Its solution can

Discrete Inequalities of Hardy Type with Variable Limits of Summation. IThe problem of necessary and sufficient couditions of validity for discrete inequalities of Hardy

Discrete Inequalities of Hardy Type with Variable Limits of Summation. IIThe problem of necessary and sufficient conditions of validity for discrete inequalities of Hardy

The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice PointsDefinition of the discrete primitive function is introduced in the problem of summation over

On Summation of Fourier Series in Finite Form Using Generalized FunctionsThe problem of obtaining a final expression for a function initially given in the form of a

The Euler-Maclaurin Formula and Differential Operators of Infinite Order equations and for generalizing the Euler-Maclaurin formula in the case of multiple summation

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