Zobrazeno 1 - 10 of 46 pro vyhledávání: '"Alfred Witkowski"'
1
Akademický článek
Generalized Levinson's inequality and exponential convexity
Autor: Josip Pečarić, Marjan Praljak, Alfred Witkowski
Publikováno v: Opuscula Mathematica, Vol 35, Iss 3, Pp 397-410 (2015)
We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds
Externí odkaz: https://doaj.org/article/c5885bf78bb64efbaa3af0260bc88cef
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2
Akademický článek
On Levinson's inequality
Autor: Alfred Witkowski
Publikováno v: Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 12, Iss 1, Pp 59-67 (2013)
We give a very simple proof of the classical Levinson inequality and generalise the result by Mercer.
Externí odkaz: https://doaj.org/article/324fdb1fef734af196383c466f7c020d
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3
Akademický článek
On some inequality of Hermite-Hadamard type
Autor: Szymon Wąsowicz, Alfred Witkowski
Publikováno v: Opuscula Mathematica, Vol 32, Iss 3, Pp 591-600 (2012)
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing t
Externí odkaz: https://doaj.org/article/7d93327dfdb94f4d8def0cd84c5cea08
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4
Akademický článek
Corrigendum to 'Hermite-Hadamard type inequalities for Wright-convex functions of several variables' [Opuscula Math. 35, no. 3 (2015), 411-419]
Autor: Alfred Witkowski
Publikováno v: Opuscula Mathematica, Vol 36, Iss 2, Pp 279-280 (2016)
We correct a small mistake made by the authors of the paper [Hermite-Hadamard type inequalities for Wright-convex functions of several variables, Opuscula Math. 35, no. 3 (2015), 411-419].
Externí odkaz: https://doaj.org/article/5eb8182390d04846b6034e101672d468
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5
Optimal bounds for the sine and hyperbolic tangent means II
Autor: Monika Nowicka, Alfred Witkowski
Publikováno v: Journal of Applied Analysis. 27:65-72
We provide the optimal bounds for the sine and hyperbolic tangent means in terms of various weighted means of the arithmetic and the contraharmonic means.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee913804d5e5b22e0e5fa531596044f7
https://doi.org/10.1515/jaa-2020-2032
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6
Optimal bounds for the tangent and hyperbolic sine means
Autor: Monika Nowicka, Alfred Witkowski
Publikováno v: Aequationes mathematicae. 94:817-827
We provide optimal bounds for the tangent and hyperbolic sine means in terms of various weighted means of the arithmetic and geometric means.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8cc45a545c5c1c4d9b0baceba6695ab8
https://doi.org/10.1007/s00010-020-00705-6
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9
Optimal bounds of classical and non-classical means in terms of Q means
Autor: Alfred Witkowski, Monika Nowicka
Publikováno v: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 116
We show optimal bounds of the form $$Q_\alpha Q α < M < Q β , where $$\begin{aligned} Q_\alpha (x,y)={\mathsf {A}}(x,y)\frac{{\mathsf {A}}^2(x,y)}{(1-\alpha ){\mathsf {A}}^2(x,y)+\alpha {\mathsf {G}}^2(x,y)} \end{aligned}$$ Q α ( x , y ) = A ( x ,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5d2baa77919d7220dca4da730259f8ee
https://doi.org/10.1007/s13398-021-01145-w
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