A Measure Associated with a Convex Surface and Its Limit Cone
Ashyralyev A. Artikbayev A.
May 2025Pleiades Publishing
Lobachevskii Journal of Mathematics
2025#46Issue 52312 - 2316 pp.
This discussion explores the measure associated with a convex surface and its limit cone. In three-dimensional Euclidean space, a convex surface at infinity tends toward a cone of rotation, referred to as the limit cone. The boundedness of the difference between the area of the convex surface and that of the limit cone is established as a whole. The proof utilizes the flat sections of the surface, formed by intersecting planes that pass through the cone’s axis of symmetry.
arc length , asymptote , convex surface , improper integral , limit , limit cone , support plane , surface area
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Bahcesehir University, Department of Mathematics, Istanbul, 34353, Turkey
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Tashkent State Transport University, Tashkent, Uzbekistan
Bahcesehir University
Institute of Mathematics and Mathematical Modeling
Peoples’ Friendship University of Russia (RUDN University)
Tashkent State Transport University
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