KMITL

Permanent URI for this communityhttps://dspace.kmitl.ac.th/handle/kmitl/1

Browse

Settings

Access type: UnknownAuthor: search.filters.author.Ponpetch, Kanet

Search Results

Now showing 1 - 6 of 6
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Linear dependence of four types of arithmetic functions
    (2019-11-01)
    Ponpetch, Kanet
    ;
    Laohakosol, Vichian
    ;
    Mavecha, Sukrawan
    General criteria were derived for the linear dependence of arithmetic functions over the complex field as well as several other criteria for arithmetic functions that were solutions of additive, multiplicative, exponential, and logarithmic equations. A number of examples were worked out in order to compare the results with the existing ones.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Independence of additive, multiplicative, exponential and logarithmic functions
    (2019-10-01)
    Ponpetch, Kanet
    ;
    Laohakosol, Vichian
    ;
    Mavecha, Sukrawan
    The independence of four types of functions, namely, additive, multiplicative, exponential and logarithmic functions defined over two types of domains, namely, discrete and non-discrete sets are investigated.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    A system of functional equations satisfied by components of a quadratic function and its stability
    (2019-10-01)
    Ponpetch, Kanet
    ;
    Laohakosol, Vichian
    ;
    Mavecha, Sukrawan
    A system of functional equations satisfied by the components of a quadratic function is derived via their corresponding circulant matrix. Given such a system of functional equations, general solutions are determined and a stability result for such a system is established.
      1
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Functions with constant sums over a hyperplane and applications
    (2019-01-01)
    Ponpetch, Kanet
    ;
    Mavecha, Sukrawan
    ;
    Laohakosol, Vichian
    Two functional equations exhibiting functions with constant sums over points lying in a hyperplane are solved, and the results are applied to characterize major trigonometric and hyperbolic functions.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Functional equations characterizing the sine and cosine functions over a convex polygon
    (2019-01-01)
    Ponpetch, Kanet
    ;
    Laohakosol, Vichian
    ;
    Mavecha, Sukrawan
    Two functional equations exhibiting functions with a constant sum over points lying in a hyperplane are solved. These functional equations are employed to characterize the sine and cosine functions.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Arithmetic functions and their linear dependence
    (2017-11-22)
    Ponpetch, Kanet
    ;
    Laohakosol, Vichian
    ;
    Mavecha, Sukrawan
    An arithmetic function is a complex-valued function defined over the positive integers. The set of arithmetic functions equipped with the usual addition and Dirichlet convolution forms a unique factorization domain. Complementing the results in the works of Komatsu et al., the problem of linear dependence over the complex field of arithmetic functions is investigated. Two general criteria are proved. Emphases are placed upon arithmetic functions which are solutions of additive equation, multiplicative equation, exponential equation and logarithmic equation. It is found that i) additive functions are always linearly dependent, ii) exponential functions are always linearly independent, and iii) the situation for logarithmic and multiplicative functions are more complex and conditions for their (in)dependence are derived.