and -convergence in topological spaces
We extend the idea of -convergence and -convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.
I-convergence theorems for a class of k-positive linear operators
In this paper, we obtain some approximation theorems for k- positive linear operators defined on the space of analytical functions on the unit disc, via I-convergence. Some concluding remarks which includes A-statistical convergence are also given.
Ideal version of Ramsey's theorem
We consider various forms of Ramsey's theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem which are connected with ideals of subsets of natural numbers. We characterize ideals with properties considered. We show that, in a sense, Ramsey's theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem characterize the same class of ideals. We use our results to show some versions of density Ramsey's theorem (these are similar to generalizations shown in [P....
Improving a Method for Computing Non-Dominant Solutions of Cetain Second-Order Recurrence Relations of Poincaré-Type.
Inäquivalenzsätze in der Limitierungstheorie.
Inclusion results for convolution submethods.
Inclusion theorems for absolute summability methods.
Inclusion theorems for some sets of sequences defined by -functions
Infinite matrices and absolute almost convergence.
Infinite Matrices and Almost Convergence.
Infinite products and paracontracting matrices.
Ingham Tauberian theorem with an estimate for the error term.
Integrability and -convergence of Rees-Stanojević sums with generalized semiconvex coefficients.
Integrability theorems for power series
Integral and computational representation of summation which extends a Ramanujan's sum
Integral Representations of Functional Series with Members Containing Jacobi Polynomials
MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi polynomials.
Integral transformations and closed form expressions for sums of double infinite series
Inverspositive Operatoren und Taubersätze in der Erneuerungstheorie.
Irrational rapidly convergent series
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces.