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On the Convolution of Functions of Generalized Bounded Variations
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Rajendra G. Vyas
Published/Copyright:
March 10, 2010
Abstract
Let ๐ and ๐ be 2ฯ periodic functions. If ๐ โ ๐ฟ1[0, 2ฯ] and ๐ is from โง ๐ต๐(๐)[0, 2ฯ] or, Lip(ฮฑ, ๐)[0, 2ฯ] or, ๐ โ ๐ต๐ [0, 2ฯ], then ๐ convolution ๐ inherit the same property.
Key words and phrases:: Convolution and ๐ โ โง-bounded variation
Received: 2004-11-22
Published Online: 2010-03-10
Published in Print: 2006-March
ยฉ Heldermann Verlag
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Keywords for this article
Convolution and ๐ โ โง-bounded variation
Articles in the same Issue
- A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak
- Holomorphic Vector Bundles on Holomorphically Convex Complex Manifolds
- Controllability of Sobolev Type Semilinear Functional Differential and Integrodifferential Inclusions with an Unbounded Delay
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- Solution of a Nonclassical Problem of Oscillation of Two-Component Mixtures
- On the Fourier Expansions of Eisenstein Series of Some Types
- On the Full Transitivity of a Cotorsion Hull
- On Generating Relations Involving Generalized Gegenbauer Polynomials
- On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
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- The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
- A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures
- A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory
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