On the connection between <i>S</i> <sup> <i>p</i> </sup>-almost periodic functions defined on time scales and โ
On the connection between <i>S</i> <sup> <i>p</i> </sup>-almost periodic functions defined on time scales and โ
Abstract It is well known that a sufficient and necessary condition for a continuous function <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>g</m:mi> </m:math> g to be almost periodic on time scale <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="double-struck">T</m:mi> </m:math> {\mathbb{T}} is the existence of an almost periodic function <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>f</m:mi> </m:math> f on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi โฆ