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Wyszukujesz frazę "maximum modulus" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Growth of a polynomial not vanishing in a disk
    Autorzy:
    Mir, Abdullah
    Powiązania:
    https://bibliotekanauki.pl/articles/2078964.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Polynomial
    maximum modulus principle
    zeros
    Opis:
    This paper deals with the problem of finding some upper bound estimates for the maximum modulus of the derivative and higher order derivatives of a complex polynomial on a disk under the assumption that the polynomial has no zeros in another disk. The estimates obtained strengthen the well-known inequality of Ankeny and Rivlin about polynomials.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2019, 73, 1; 41-48
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Inequalities concerning polar derivative of polynomials
    Autorzy:
    Ahuja, Arty
    Dewan, K. K.
    Hans, Sunil
    Powiązania:
    https://bibliotekanauki.pl/articles/747153.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Polynomials
    maximum modulus
    inequalities in the complex domain
    polar derivative
    Opis:
    In this paper we obtain certain results for the polar derivative of a polynomial \(p(z) = c_nz^n +\sum_{j=\mu}^n c_{n-j}z^{n-j}\), \(1\leq\mu\leq n\), having all its zeros on \(|z| = k\), \(k\leq 1\), which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros. [Editor's note: There are flaws in the paper, see M. A. Qazi, Remarks on some recent results about polynomials with restricted zeros, Ann. Univ. Mariae Curie-Skłodowska Sect. A 67 (2), (2013), 59-64 ]
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 1
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the maximum modulus of a polynomial
    Autorzy:
    Jain, Vinay Kumar
    Powiązania:
    https://bibliotekanauki.pl/articles/357737.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    maximum modulus
    polynomial
    refinement
    Schwarz lemma
    moduł maksymalny
    wielomian
    udoskonalenie
    lemat Schwarza
    Opis:
    For a polynomial p(z) of degree n, having no zeros in $|z| < 1$ Ankeny and Rivlin had shown that for $R \geq 1$ \[ \max _{|z|=R}|p(z)| \leq \frac{R^{n}+1}{2} \max _{|z|=1}|p(z)| \]. Using Govil, Rahman and Schmeisser’s refinement of the generalization of Schwarz’s lemma we have obtained a refinement of Ankeny and Rivlin’s result. Our refinement is also a refinement of Dewan and Pukhta’s refinement of Ankeny and Rivlin’s result.
    Źródło:
    Journal of Mathematics and Applications; 2019, 42; 109-116
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Complex analysis of uniaxial compressive tests of the Mórágy granitic rock formation (Hungary)
    Autorzy:
    Davarpanah, M.
    Somodi, G.
    Kovács, L.
    Vásárhelyi, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/178552.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    uniaxial compressive test
    modulus ratio
    maximum axial strain
    crack damage stress
    crack initiation stress
    Mórágy granite formation
    Opis:
    Understanding the quality of intact rock is one of the most important parts of any engineering projects in the field of rock mechanics. The expression of correlations between the engineering properties of intact rock has always been the scope of experimental research, driven by the need to depict the actual behaviour of rock and to calculate most accurately the design parameters. To determine the behaviour of intact rock, the value of important mechanical parameters such as Young’s modulus (E), Poisson’s ratio (v) and the strength of rock (σcd) was calculated. Recently, for modelling the behaviour of intact rock, the crack initiation stress (σci) is another important parameter, together with the strain (ɛ). The ratio of Young’s modulus and the strength of rock is the modulus ratio (MR), which can be used for calculations. These parameters are extensively used in rock engineering when the deformation of different structural elements of underground storage, caverns, tunnels or mining opening must be computed. The objective of this paper is to investigate the relationship between these parameters for Hungarian granitic rock samples. To achieve this goal, the modulus ratio (MR = E/σc) of 50 granitic rocks collected from Bátaapáti radioactive waste repository was examined. Fifty high-precision uniaxial compressive tests were conducted on strong (σ c >100 MPa) rock samples, exhibiting the wide range of elastic modulus (E = 57.425–88.937 GPa), uniaxial compressive strength (σc = 133.34–213.04 MPa) and Poisson’s ratio (v= 0.18– 0.32). The observed value (MR = 326–597) and mean value of MR = 439.4 are compared with the results of similar previous researches. Moreover, the statistical analysis for all studied rocks was performed and the relationship between MR and other mechanical parameters such as maximum axial strain (ɛa, max) for studied rocks was discussed.
    Źródło:
    Studia Geotechnica et Mechanica; 2019, 41, 1; 21-32
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Investigation of the Effect of Young’s Modulus on the Contact Strength of Metal Polymer Plain Bearings
    Autorzy:
    Chernets, Myron
    Pashechko, Mykhaylo
    Kornienko, Anatolii
    Borc, Jarosław
    Zakhariia, Roman
    Powiązania:
    https://bibliotekanauki.pl/articles/2181749.pdf
    Data publikacji:
    2022
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    metal-polymer plain bearings
    epoxy composites
    Moglice
    DK6 (PT)
    polyamide composites
    PA6+30%GF
    PA6+30%CF
    calculation method
    Young modulus
    Young module
    maximum contact pressures
    Opis:
    Using the author's method of research of hybrid (metal-polymer) plain bearings the calculation of their load carrying capacity (contact pressures) is carried out. Studies have been conducted for metal-polymer bearings with a bushing of two types of polymer composites: epoxy based antifriction composite materials DIAMANT Moglice (DIAMANT Metallplastic GmbH) and DK6 (PT) (fillers - graphite, MoS2, Zr). The elastic constants of composite materials, in particular the Young's modulus, have a noticeable effect on the contact pressures in metal-polymer bearings. The Young's modulus is significantly different in these composite materials. In accordance with this factor, the influence of load, bushing diameter and radial clearance on the maximum contact pressures was studied. Quantitative and qualitative regularities of maximum contact pressures from the accepted factors of influence: Young's modulus, loading, bushing diameter, radial clearance, type of bushing material are established. The obtained results are compared with the results obtained by known conventional calculating methods of contact pressures.
    Źródło:
    Advances in Science and Technology. Research Journal; 2022, 16, 2; 67--73
    2299-8624
    Pojawia się w:
    Advances in Science and Technology. Research Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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