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Integrability and L1-Convergence of Modified Sine Sums

  • Kulwinder Kaur , S. S. Bhatia and Babu Ram
Published/Copyright: March 3, 2010
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Georgian Mathematical Journal
From the journal Volume 11 Issue 1

Abstract

New modified sine sums are introduced and a criterion for the L1-convergence of these modified sine sums under a new class K is obtained. Also a necessary and sufficient condition for the L1-convergence of the cosine series is deduced as a corollary.

Received: 2003-05-01
Published Online: 2010-03-03
Published in Print: 2004-March

© Heldermann Verlag

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  2. Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods
  3. The Structure of 𝐺-Free Nilpotent Groups of Step 3
  4. Fuzzy Solutions for Neutral Functional Differential Equations with Nonlocal Conditions
  5. Projective Bundles on Infinite-Dimensional Complex Spaces
  6. Explicit Solutions of the Basic Boundary Value Problems of Statics of the Elastic Mixture Theory for an Annulus
  7. Particular Solutions for a Class of ODE Related to the L-Exponential Functions
  8. On Hyers–Ulam Stability of Cauchy and Wilson Equations
  9. Common Fixed Points Iteration Processes for a Finite Family of Asymptotically Nonexpansive Mappings
  10. Varieties of Universal Algebras with Normal Local Projections
  11. Integrability and L1-Convergence of Modified Sine Sums
  12. On Homogeneous Coverings of Euclidean Spaces
  13. On Entire Modular Forms of Half-Integral Weight on the Congruence Subgroup Γ0(4N)
  14. The Bellman Equation Related to the Minimal Entropy Martingale Measure
  15. Oscillation and Nonoscillation Criteria for two-Dimensional Systems of Linear Ordinary Differential Equations
  16. Formulas of Variation for a Solution of Neutral Differential Equations with Continuous Initial Condition
  17. Positive Solutions of a Neutral Difference Equation with Positive and Negative Coefficients
  18. Two Sharp Inequalities of Simpson Type and Applications
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