%0 Journal Article %T On the geometric properities of new type modular space %A Mehmet Sengonul %J Tamkang Journal of Mathematics %D 2012 %I Tamkang University %R 10.5556/j.tkjm.43.2012.159-170 %X In this paper, using a modular, we have defined the modular space $M_{m^*}(p)$ and we have shown that the sequence space $M_{m^*}(p)$ equipped with the Luxemburg norm is rotund and possesses H-property (or Kadec-Klee property) when $p=(p_k)$ is bounded with $p_k>1$ for all $kinmathbb{N}$. %K Modular spaces %K Kadec-Klee property %K Banach space %K rotund %K Nakano space %U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/687