Following the work on non-stationary fractal interpolation (Mathematics 7, 666 (2019)), we study non-stationary or statistically self-similar fractal interpolation on the Sierpiński gasket (SG). This article provides an upper bound of box dimension of the proposed interpolants in certain spaces under suitable assumption on the corresponding Iterated Function System. Along the way, we also prove that the proposed non-stationary fractal interpolation functions have finite energy.

Using information from the financial years 2013-14 to 2021-22 of Indian firms that combined during the financial years 2016-17 and 2017-18, the research compares the operational efficiency of the emerging companies before and after the M&As. Using stochastic frontier analysis (SFA), we compared the productivity of the 454 organizations that emerged as a consequence. In this analysis, we take into account all relevant factors to pinpoint optimal performance. The findings show that both before and after mergers and acquisitions, the operating margin was negatively affected. Only a small number of them, however, have really turned out to be detrimental. However, the results demonstrate that the operating margin has increased both before and after the mergers and acquisitions that occurred during these fiscal years. We suggest that this is because of the synergies created when businesses combine their resources, which is good news for the economy. We found that important firm factors including operating margin, ROA, ROCE, and EBIT have a significant role in the long-term post-M&A operational performance of a company after a merger or acquisition.