A low power display and a method for display in a display device having an Active Matrix Organic Light Emitting Diodes AMOLED panel are provided. A display window that includes content to be displayed on the AMOLED panel is determined. Luminance values of pixels constituting the display window are grasped. The pixels having luminance values that are to be adjusted are determined in accordance with a distribution degree of pixels having luminance values that are larger than a reference luminance value. The luminance values of the determined pixels are changed to the reference luminance value, and the display window is displayed on the AMOLED panel with the changed luminance values.