Description
This book is a comprehensive guide to symmetric properties in real functions. It covers everything from classical proofs to newer, simpler, and more general techniques, and it provides valuable background information for real analysis problems involving symmetric derivatives, symmetric continuity, and local symmetric structure of sets or functions.
This practical reference-the only available book of its kind on the subject-offers detailed coverage of every important aspect of symmetric structures in functions of a single real variable-providing a historical perspective, proofs, and useful methods for addressing problems. An integrated, single-source volume that furnishes valuable assistance for real analysis problems involving symmetric derivatives, symmetric continuity, and local symmetric structure of sets or functions! Supplying both classical proofs and newer, simpler, and more general techniques, Symmetric Properties of Real Functions gives all of the necessary background information explicates the established symmetric derivatives and develops the continuity properties of functions satisfying a symmetric growth condition systematically studies the regularity properties of functions that satisfy even as well as odd symmetry conditions explores monotonicity and convexity theorems as they arise from the first or second symmetric derivative defines many symmetric derivatives and surveys the nature of results introduces the variational theory associated with the first and second symmetric derivatives addresses symmetric integrals and their relation to the solution of the coefficient problem for trigonometric series and more!
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