Authors : Ratna Muffidah, Moch Aruman Imron and Ratno Bagus Edy Wibowo
Abstract: 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.
Ratna Muffidah, Moch Aruman Imron and Ratno Bagus Edy Wibowo, 2020. Non-One Sided Bounded Variation Sequences Order r. Journal of Engineering and Applied Sciences, 15: 2704-2708.