@inbook{5415e6daebc74f1e8d1f470306f46ac0,
title = "Leibniz{\textquoteright}s rule and Fubini{\textquoteright}s theorem associated with a general quantum difference operator",
abstract = "In this paper, we derive Leibniz{\textquoteright}s rule and Fubini{\textquoteright}s theorem associated with a general quantum difference operator Dβ which is defined by Dβf(t)=f(β(t))−f(t)β(t)−t, β(t) ≠ t. Here β is a strictly increasing continuous function defined on a set (Formula Presented) that has only one fixed point s0 ∈ I and satisfies the inequality (t − s0)(β(t) − t) ≤ 0 for all (Formula Presented).",
author = "Hamza, \{Alaa E.\} and Shehata, \{Enas M.\} and Praveen Agarwal",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",
year = "2020",
doi = "10.1007/978-3-030-44625-3\_7",
language = "English",
series = "Springer Optimization and Its Applications",
publisher = "Springer",
pages = "121--134",
booktitle = "Springer Optimization and Its Applications",
address = "Germany",
}