Convexity order

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Doctor of philosophy in mathematics: Shortest paths along a sequence of line segments and connected orthogonal convex hulls

In the dissertation, we consider the problem of finding the shortest path between two points along a sequence of adjacent triangles in a general setting. The sequence of triangles is replaced by a sequence of ordered line segments. The 3D space is replaced by a Euclidean space.

91p caphesuadathemtieu 02-03-2022 17 5 Download

Some properties of a new integral operator

For certain classes of analytic functions fi, gi and hi, i=1,..., n in the open unit disk U, we define a new general integral operator Hn(z) = R z 0 Qn i=1 fi(t) hi(t)αi (g'i (t))yi dt and we study convexity properties of this integral operator. Keywords: Analytic functions, integral operators, convexity order, convex funtions, order.

12p tamynhan5 10-12-2020 11 1 Download