TY - JOUR
T1 - Some Fractional Inequalities of Ostrowski-Type and related Applications
AU - Vivas-Cortez, Miguel
AU - Saleem, Muhammad Shoaib
AU - Sajid, Sana
N1 - Publisher Copyright:
© 2022. NSP Natural Sciences Publishing Cor.
PY - 2022/7/1
Y1 - 2022/7/1
N2 - A significant area in the region of pure and applied mathematics is the integral inequality. As it is well-known, inequalities objective to establish various mathematical methods. Today, we need to pursue exact inequalities to demonstrate the uniqueness and existence of mathematical methods. In the present research, we will develop some Ostrowski-type inequalities for the strongly quasi-convex function. We also establish some fractional weighted Ostrowski-type inequalities for differentiable strongly quasi-convex function. The remarks at the end of the results are also given. In order to show the effectiveness of our results, we present some applications to special means. The derived results generalize and refine some well-known results.
AB - A significant area in the region of pure and applied mathematics is the integral inequality. As it is well-known, inequalities objective to establish various mathematical methods. Today, we need to pursue exact inequalities to demonstrate the uniqueness and existence of mathematical methods. In the present research, we will develop some Ostrowski-type inequalities for the strongly quasi-convex function. We also establish some fractional weighted Ostrowski-type inequalities for differentiable strongly quasi-convex function. The remarks at the end of the results are also given. In order to show the effectiveness of our results, we present some applications to special means. The derived results generalize and refine some well-known results.
KW - Generalized derivatives and integral
KW - Laplace’s equation
UR - http://www.scopus.com/inward/record.url?scp=85133785642&partnerID=8YFLogxK
U2 - 10.18576/amis/160401
DO - 10.18576/amis/160401
M3 - Article
AN - SCOPUS:85133785642
SN - 1935-0090
VL - 16
SP - 479
EP - 489
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 4
ER -