Sharp Estimates For Some Integral Operators Of Convex Functions Of Order Alpha

G. A. Halim; D. K. Thomas

Displaying similar documents to “Sharp Estimates For Some Integral Operators Of Convex Functions Of Order Alpha”

Sharp norm estimate of Schwarzian derivative for a class of convex functions

Stanisława Kanas, Toshiyuki Sugawa (2011)

Annales Polonici Mathematici

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We establish a sharp norm estimate of the Schwarzian derivative for a function in the classes of convex functions introduced by Ma and Minda [Proceedings of the Conference on Complex Analysis, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.

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Siniša Vrećica (1981)

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On some generalization of α-convex functions

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Acta Universitatis Lodziensis. Folia Mathematica

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$L^{p}$ and Hölder estimates for pseudodifferential operators : sufficient conditions

Richard Beals (1979)

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Continuity in $L^{p}$ spaces and spaces of Hölder type is proved for pseudodifferential operators of order zero, under general conditions on the class of symbols. Applications to the regularity theory of some hypoelliptic operators are outlined.

Banach spaces and operators which are nearly uniformly convex

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CONTENTSIntroduction..............................................................................................5 I. Basic definitions and notation..............................................................6 M-bases and finite-dimensional decompositions....................................6 Some geometric properties of Banach spaces.......................................9 II. Constructions of equivalent norms.....................................................12 III. (p,q)-estimates...

Decompositions of compact convex sets.

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