Browsing by Publisher "University of Miskolc"

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    Associated curves of Frenet curves in three dimensional compact Lie group
    (University of Miskolc, 2015) Kiziltuğ S.; Önder M.
    General definition of associated curves of a Frenet curve is given in a three dimensional compact Lie group G. The principal normal direction curve and principal normal donor curve are introduced and some characterizations for these curves are obtained in G. Later, the relationships between a principal normal direction curve and some special curves such as helix, slant helix or curve with a special torsion are obtained. © 2015 Miskolc University Press.
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    Power subgroups of the extended Hecke groups
    (University of Miskolc, 2015) Sarigedik Z.; Ikikardes S.; Sahin R.
    We consider the extended Hecke groups H(λq) generated by T(Z)=-1/Z,S(Z)=-1/(Z+λq) and R(Z)=1/Z with λq = 2cos(π/q) for q ≥ 3 integer: In this article, we study the abstract group structures of the power subgroups Hm(λq) of H(λq) for each positive integer m. Then, we give the relations between commutator subgroups and power subgroups.
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    ON SPECIAL DEVELOPABLE RULED SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
    (University of Miskolc, 2021) Kaya O.; Onder M.
    In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are considered. The conditions for such surfaces to have 1-type Gauss map and also to be minimal are introduced. Finally, some examples are given for the obtained results © 2021. Miskolc University Press
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    NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRAL EQUATIONS BASED ON RATIONAL CHEBYSHEV APPROXIMATION
    (University of Miskolc, 2023) Deniz S.; Özger F.; Özger Z.Ö.; Mohiuddine S.A.; Ersoy M.T.
    We aim to give the numerical method for solving the fractional Volterra integral equations of first and second kinds. We here use the techniques based upon rational Chebyshev functions and Riemann-Liouville fractional integrals. Some illustrative experiments with a view of estimating error and graphics are given in order to show the validity and applicability of the technique. Our experiments show that the new technique has high accuracy and is very efficient when compare to the other approaches existing in literature. © (2023) All Rights Reserved.