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- W3212415477 abstract "We give a sufficient condition for the strict parabolic power concavity of the convolution in space variable of a function defined on (mathbb {R}^n times (0,+infty )) and a function defined on (mathbb {R}^n). Since the strict parabolic power concavity of a function defined on (mathbb {R}^n times (0,+infty )) naturally implies the strict power concavity of a function defined on (mathbb {R}^n), our sufficient condition implies the strict power concavity of the convolution of two functions defined on (mathbb {R}^n). As applications, we show the strict parabolic power concavity and strict power concavity in space variable of the Gauss–Weierstrass integral and the Poisson integral for the upper half-space." @default.
- W3212415477 created "2021-11-22" @default.
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- W3212415477 date "2021-11-09" @default.
- W3212415477 modified "2023-10-16" @default.
- W3212415477 title "Strict power concavity of a convolution" @default.
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- W3212415477 doi "https://doi.org/10.1007/s10231-021-01170-x" @default.
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