مشخصات پژوهش

صفحه نخست /A newversion of (p, ...
عنوان
A newversion of (p, q)-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in (p, q)-calculus
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
q-calculus; (p, q)-Hermite–Hadamard inequality; (p, q)-calculus; Convex functions
چکیده
In this paper, we conduct a research on a new version of the (p, q)-Hermite–Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p, q)-midpoint and (p, q)-trapezoidal inequalities for special (p, q)-differentiable functions by using the notions of left and right (p, q)-derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p, q)-functions to confirm the correctness of newly established results.
پژوهشگران تانین سیتهی ویراتهام (نفر اول)، محمد عامر علی (نفر دوم)، حسین بوداک (نفر سوم)، سینا اعتماد (نفر چهارم)، شهرام رضاپور (نفر پنجم)