Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Milan Merkle"'
Autor:
Milan Merkle, Zoran D. Mitrović
Publikováno v:
Periodica Mathematica Hungarica. 85:32-44
We present a tight parametrical Hermite–Hadamard type inequality with probability measure, which yields a considerably closer upper bound for the mean value of convex function than the classical one. Our inequality becomes equality not only with af
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5806389b81618749e216f8e764e690f3
https://doi.org/10.1007/s10998-021-00425-7
https://doi.org/10.1007/s10998-021-00425-7
Publikováno v:
IET Circuits, Devices & Systems. 11:421-427
This study presents the analysis of statistical parameters of the output quantisation noise amplitude distribution in the analogue-to-digital converter (ADC) with oversampling and decimation. Hypothesis was tested that quantisation noise amplitudes o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91ae92ba900ccc019224a3da8e38873e
https://doi.org/10.1049/iet-cds.2016.0506
https://doi.org/10.1049/iet-cds.2016.0506
Publikováno v:
Statistics & Probability Letters. 156:108600
We propose a two stage procedure for the estimation of the parameters of a fairly general, continuous-time stochastic volatility model. An important ingredient of the proposed method is the Cuchiero–Teichmann volatility estimator, which is based on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b1c75f5ceda5ae26cd353eb941fdd4b
https://doi.org/10.1016/j.spl.2019.108600
https://doi.org/10.1016/j.spl.2019.108600
Publikováno v:
Applicable Analysis and Discrete Mathematics. 8:60-72
For non-decreasing real functions f and g; we consider the functional T(f,g; I,J) = ?I f(x) dg(x) + ?J g(x) df(x); where I and J are intervals with J ? I. In particular case with I = [a, t]; J = [a, s], a < s ? t and g(x) = x; this reduces to the exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c2843cafcc672cd3719e087fe529e04
https://doi.org/10.2298/aadm131211024m
https://doi.org/10.2298/aadm131211024m
Publikováno v:
Applied Mathematics and Computation. 218:935-943
The Barnes’ G -function G ( x ) = 1/ Γ 2 , satisfies the functional equation log G ( x + 1) − log G ( x ) = log Γ ( x ). We complement W. Krull’s work in Bemerkungen zur Differenzengleichung g ( x + 1) − g ( x ) = φ ( x ), Math. Nachrichte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a05638c489aee6e8639cba8c6f7c466
https://doi.org/10.1016/j.amc.2011.01.090
https://doi.org/10.1016/j.amc.2011.01.090
Autor:
Milan Merkle
In order to investigate minimal sufficient conditions for an abstract integral to belong to the convex hull of the integrand, we propose a system of axioms under which it happens. If the integrand is a continuous $\mathbf {R}^{n}$ -valued function ov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::250e75b751c9ac511d5f2d0a28bd5e37
Autor:
Milan Merkle
Publikováno v:
Statistics & Probability Letters. 71:277-281
We prove an analogue of Jensen's inequality, with medians instead of means. A novel definition of a median is given, which allows a natural extension to higher dimensions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbe70fef90abbbd358871823a9156730
https://doi.org/10.1016/j.spl.2004.11.010
https://doi.org/10.1016/j.spl.2004.11.010
Autor:
Milan Merkle
Publikováno v:
Journal of Mathematical Analysis and Applications. 293:210-218
We say that f is reciprocally convex if x↦f(x) is concave and x↦f(1/x) is convex on (0,+∞). Reciprocally convex functions generate a sequence of quasi-arithmetic means, with the first one between harmonic and arithmetic mean and others above th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e422153689790330c70c0769118a8cf
https://doi.org/10.1016/j.jmaa.2003.12.021
https://doi.org/10.1016/j.jmaa.2003.12.021
Publikováno v:
Nuclear Technology and Radiation Protection, Vol 19, Iss 2, Pp 40-46 (2004)
In this paper a new approach for calculation of the years of life lost per excess death due to stochastic health effects is applied to external exposure pathways. The short-term external exposures are due to the passage of radioactive cloud and due t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d4da38ac0e708eceb5ce88c5fcf82a1
https://doi.org/10.2298/ntrp0402040r
https://doi.org/10.2298/ntrp0402040r
Autor:
Milan Merkle
Publikováno v:
Analytic Number Theory, Approximation Theory, and Special Functions ISBN: 9781493902576
This work has a purpose to collect selected facts about the completely monotone (CM) functions that can be found in books and papers devoted to different areas of mathematics. We opted for lesser known ones and for those which may help in determining
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88e2235dca9ed88836b40a7993bf2c92
https://doi.org/10.1007/978-1-4939-0258-3_12
https://doi.org/10.1007/978-1-4939-0258-3_12