• Title/Summary/Keyword: non-Newtonian calculus

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A NON-NEWTONIAN APPROACH IN DIFFERENTIAL GEOMETRY OF CURVES: MULTIPLICATIVE RECTIFYING CURVES

  • Muhittin Evren Aydin;Aykut Has;Beyhan Yilmaz
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.3
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    • pp.849-866
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    • 2024
  • In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative differential-geometric concepts to investigate such curves. By several characterizations, we completely classify the multiplicative rectifying curves by means of the multiplicative spherical curves.

RIGHT-RADAU-TYPE INEQUALITIES FOR MULTIPLICATIVE DIFFERENTIABLE s-CONVEX FUNCTIONS

  • A. BERKANE;B. MEFTAH;A. LAKHDARI
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.785-800
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    • 2024
  • In this study, a new identity is introduced for multiplicative differentiable functions, forming the foundation for a range of 2-point right-Radau-type inequalities applicable to multiplicative s-convex functions. These established results are then showcased through applications that underscore their relevance within the domain of special means.