General Nörlund transforms and power series methods.
General Tauberian Remainder Theorems.
General Tauberian theorems in R... connected with a theorem of Korenblum.
Generalization of a Theorem of Pati.
Generalization of some absolute summability methods.
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
Generalizations to monotonicity for uniform convergence of double sine integrals over ℝ̅²₊
We investigate the convergence behavior of the family of double sine integrals of the form , where (u,v) ∈ ℝ²₊:= ℝ₊ × ℝ₊, ℝ₊:= (0,∞), and f: ℝ²₊ → ℂ is a locally absolutely continuous function satisfying certain generalized monotonicity conditions. We give sufficient conditions for the uniform convergence of the remainder integrals to zero in (u,v) ∈ ℝ²₊ as maxa₁,a₂ → ∞ and , j = 1,2 (called uniform convergence in the regular sense). This implies the uniform convergence of the partial integrals...
Generalized almost convergence and Knopp's core theorem
Generalized almost-convergence vs. matrix summability
Generalized Analytic and Quasi-Analytic Vectors
For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.
Generalized Cesàro Numbers
Generalized Hausdorff Matrices as Bounded Operators on lP.
Generalized strong summability of infinite series.
Generalized strongly -summable sequences defined by Orlicz functions
Generalized vector-valued sequence spaces defined by modulus functions.
Generating functions for certain q-orthogonal polynomials.
Gliding hump properties and some applications.