


Paper's Title:
HermiteHadamardFejer Type Inequalities for Harmonically sconvex Functions via Fractional Integrals
Author(s):
İmdat İşcan, Mehmet Kunt
Department of Mathematics,
Faculty of Sciences and Arts,
Giresun University, Giresun,
Turkey.
Email: imdat.iscan@giresun.edu.tr
Department of Mathematics,
Faculty of Sciences,
Karadeniz Technical University,
61080, Trabzon,
Turkey.
Email:
mkunt@ktu.edu.tr
Abstract:
In this paper, some HermiteHadamardFejer type integral inequalities for harmonically sconvex functions in fractional integral forms have been obtained.
Paper's Title:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
HermiteHadamard Type Inequalities for kRiemann Liouville Fractional Integrals Via Two Kinds of Convexity
Author(s):
R. Hussain^{1}, A. Ali^{2}, G. Gulshan^{3}, A. Latif^{4} and K. Rauf^{5}
^{1,2,3,4}Department
of Mathematics,
Mirpur University of Science and Technology, Mirpur.
Pakistan.
Email^{1}:
rashida12@gmail.com
Email^{2}:
unigraz2009@yahoo.com
Email^{3}:
ghazalagulshan@yahoo.com
Email^{4}:
asialatif87@gmail.com
^{5}Department
of Mathematics,
University of Ilorin, Ilorin,
Nigeria.
Email^{5}:
krauf@unilorin.edu.ng
Abstract:
In this article, a fundamental integral identity including the first order derivative of a given function via kRiemannLiouville fractional integral is established. This is used to obtain further HermiteHadamard type inequalities involving leftsided and rightsided kRiemannLiouville fractional integrals for mconvex and (s,m)convex functions respectively.
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