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Difference of a function in the space of strictly monotonic functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15410%2F15%3A33157416" target="_blank" >RIV/61989592:15410/15:33157416 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Difference of a function in the space of strictly monotonic functions

  • Original language description

    The space of strictly monotonic functions is defined as a set of all continuous real-valued functions of a real variable $x$ from $R$ which map one-to-one the interval $R$ on the interval $(a,b)$, where $a$ and $b$ are real or extended numbers. In this space the theory of Abel functional equations is studied. The Abel functional model reduces under specialization to a linear functional or difference equations. In the paper we introduce a new definition of a difference of a function which treats all classes of strictly monotonic functions.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Mathematica V. Scientific Issues

  • ISBN

    978-80-561-0296-1

  • Number of pages of the result

    8

  • Pages from-to

    65-72

  • Number of pages of the book

    120

  • Publisher name

    Verbum - vydavateľstvo Katolickej univerzity

  • Place of publication

    Ružomberok

  • UT code for WoS chapter