Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1402
1
1
gregorian
2023
4
1
18
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online
1
fulltext
en
On Fejér Type Inequalities for (η1,η2)-Convex Functions
عمومى
General
پژوهشي
Research paper
‎
<span class="fontstyle0">In this paper we find a characterization type result for (</span><span class="fontstyle2">η</span><sub><span class="fontstyle3">1</span></sub><span class="fontstyle2">,η</span><sub><span class="fontstyle3">2</span></sub><span class="fontstyle0">)-convex functions. The Fejér integral inequality related to (</span><span class="fontstyle2">η</span><sub><span class="fontstyle3">1</span></sub><span class="fontstyle2">,η</span><sub><span class="fontstyle3">2</span></sub><span class="fontstyle0">)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and </span><span class="fontstyle2">η</span><span class="fontstyle0">-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (</span><span class="fontstyle2">η</span><sub><span class="fontstyle3">1</span></sub><span class="fontstyle2">,η</span><sub><span class="fontstyle3">2</span></sub><span class="fontstyle0">)-convex.</span>
Generalized convex function, Fejér inequality, Trapezoid inequality, Mid-point inequality.
193
210
http://ijmsi.ir/browse.php?a_code=A-10-3794-1&slc_lang=en&sid=1
M.
Rostamian Delavar
m.rostamian@ub.ac.ir
100319475328460010033
100319475328460010033
Yes
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
S.
Mohammadi Aslani
soraya.mohammadi.aslani@gmail.com
100319475328460010034
100319475328460010034
No
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
S. M.
Vaezpour
vaez@aut.ac.ir
100319475328460010035
100319475328460010035
No
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, 242 Hafez Ave, Tehran, Iran