eng Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 2013-09-23 1 1 4 8 10.12691/tjant-1-1-2 TJANT2013112 article Erdoğan Şen 1 Mehmet Acikgoz 2 Serkan Araci mtsrkn@hotmail.com 3 Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, Gaziantep, Turkey Atatürk Street, 31290 Hatay, TURKEY The q-extension of Hardy-littlewood-type maximal operator in accordance with q Volkenborn integral in the p-adic integer ring was recently studied . A generalization of Jang's results was given by Araci and Acikgoz . By the same motivation of their papers, we aim to give the definition of the weighted q-Hardy-littlewood-type maximal operator by means of fermionic p-adic q-invariant distribution on Z_p. Finally, we derive some interesting properties involving this-type maximal operator. http://pubs.sciepub.com/tjant/1/1/2/tjant-1-1-2.pdf fermionic p-adic q-integral on Z_p hardy-littlewood theorem p-adic analysis q-analysis