A class of generalized convex functions, the hyperbolic-concave functions, is defined, and used to characterize the collection of Hardy-Littlewood maximal functions. These maximal functions and the ...
Abstract: The hyperbolic fractional Fourier transform (HFrFT) as a generalized form of the fractional Fourier trans-form (FrFT) based on complex transform orders is introduced. This paper defines the ...
ABSTRACT: Dramatic simplification of mathematical apparatus, special relativity’s hyperbolic versus circular versions, some equivalence of SR and Newton’s theories, algebra of relativistic and the ...
Evidence strongly indicates that human decision makers discount the future using a hyperbolic function instead of following an exponential, which has been the long-standing assumption. We compare the ...
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