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 EquationGrigoriev, Andrey A.,
Leinartas, Evgeniy K.,
Lyapin, Alexander P.,
Григорьев, Андрей А.,
Лейнартас, Евгений К.,
Ляпин, Александр П. We 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
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