TY  - JOUR
T1  - Non-One Sided Bounded Variation Sequences Order r
AU - Muffidah, Ratna AU - Aruman Imron, Moch AU - Edy Wibowo, Ratno Bagus 
JO  - Journal of Engineering and Applied Sciences
VL  - 15
IS  - 13
SP  - 2704
EP  - 2708
PY  - 2020
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2020.2704.2708
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2020.2704.2708
KW  - Non-one sided bounded variation sequences order r
KW  -general monotone
KW  -difference sequence
KW  -approximation
AB  - Trigonometric series in partial differential
equations contain coefficients of the Fourier series which
is decreasing monotone and convergence to zero. The
properties of the Fourier series coefficient are sufficient
conditions for the series to convergence uniformly. The
coefficients in the Fourier series have been developed into
several classes, such as General Monotone Sequences
(GMS) and non-one sided bounded variation sequences
(NBVS). Not long after that there was a new class,
namely General Monotone Sequences order r (GMS(r)).
Of the several classes mentioned above and still meet the
convergence requirements, so, they are still guaranteed to
be in the Fourier series. This study will discuss the
development of the non-one sided bounded variation
sequences class into order r such as general monotone
sequences order r.
ER  -