Mat Rofa Ismail

Application of modified complex Tremblay operator

In this paper, we introduce a new fractional integral operator defined by modified fractional derivative Tremblay operator of analytic functions and show that the univalence of this integral operator is preserved under certain sufficient conditions in complex domain ℂ.

Cache balancing with proportionate cutting strategy

Caching mechanism had been widely used in many applications particularly in CPU optimization, internet application, data structure etc. Our research in text processing reveals that caching mechanism is also applicable to solve performance problem of text analyzers. In this paper we describe the strategy called ‘proportionate cutting’ for balancing (maintaining) limited size cache. Our experiment shows that by proportionate cutting at 0.5 thresholds value gives good performance to the cache. This actually allows of using limited cache in text processing with high frequency words.