TY - CHAP
T1 - Piecewise almost periodic functions and generalizations on translation time scales
AU - Wang, Chao
AU - Agarwal, Ravi P.
AU - O’Regan, Donal
AU - Sakthivel, Rathinasamy
N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2020.
PY - 2020
Y1 - 2020
N2 - This chapter is mainly concerned with piecewise almost periodic functions and their generalizations on various types of translation time scales and is divided into four sections. Section 4.1 establishes some basic results of piecewise almost periodic functions on complete-closed time scales (CCTS). In Sect. 4.2, the properties of weighted piecewise almost periodic functions are provided on CCTS. In Sect. 4.3, based on almost complete-closed time scales (ACCTS), the concept of double-almost periodic functions are introduced and some fundamental results are established. Moreover, the generalization of piecewise double-almost periodic functions is introduced and investigated.
AB - This chapter is mainly concerned with piecewise almost periodic functions and their generalizations on various types of translation time scales and is divided into four sections. Section 4.1 establishes some basic results of piecewise almost periodic functions on complete-closed time scales (CCTS). In Sect. 4.2, the properties of weighted piecewise almost periodic functions are provided on CCTS. In Sect. 4.3, based on almost complete-closed time scales (ACCTS), the concept of double-almost periodic functions are introduced and some fundamental results are established. Moreover, the generalization of piecewise double-almost periodic functions is introduced and investigated.
UR - https://www.scopus.com/pages/publications/85085186018
U2 - 10.1007/978-3-030-38644-3_4
DO - 10.1007/978-3-030-38644-3_4
M3 - Chapter
AN - SCOPUS:85085186018
T3 - Developments in Mathematics
SP - 239
EP - 281
BT - Developments in Mathematics
PB - Springer
ER -