Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

JR Wang, X Li, M Fe [cbreve] kan, Y Zhou - Applicable Analysis, 2013 - Taylor & Francis
In this article, two fundamental integral identities including the second-order derivatives of a
given function via Riemann–Liouville fractional integrals are established. With the help of …

New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating -Convex Functions in Hilbert Space

S Rashid, H Kalsoom, Z Hammouch, R Ashraf… - Symmetry, 2020 - mdpi.com
In Hilbert space, we develop a novel framework to study for two new classes of convex
function depending on arbitrary non-negative function, which is called a predominating ℏ …

Integral inequalities involving strongly convex functions

YQ Song, M Adil Khan, S Zaheer Ullah… - Journal of function …, 2018 - Wiley Online Library
We study the notions of strongly convex function as well as F‐strongly convex function. We
present here some new integral inequalities of Jensen's type for these classes of functions …

On strongly -convex functions

H Angulo, J Giménez, AM Moros… - Annals of functional …, 2011 - projecteuclid.org
‎ We introduce the notion of strongly $ h $-convex functions (defined on‎‎ a normed space) and
present some properties and representations of‎‎ such functions‎.‎ We obtain a characterization …

Integral majorization type inequalities for the functions in the sense of strong convexity

S Zaheer Ullah, MA Khan, ZA Khan… - Journal of Function …, 2019 - Wiley Online Library
Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity -
Zaheer Ullah - 2019 - Journal of Function Spaces - Wiley Online Library Skip to Article Content …

[PDF][PDF] Refinements of Jensen's and McShane's inequalities with applications

MA Khan, J Pečarić, YM Chu - AIMS Mathematics, 2020 - aimspress.com
Refinements of Jensen's and McShane's inequalities with applications Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 5(5): 4931–4945. DOI:10.3934/math.2020315 Received: 29 March 2020 …

[PDF][PDF] On strongly generalized convex functions

MU Awan, MA Noor, KI Noor, F Safdar - Filomat, 2017 - doiserbia.nb.rs
The main objective of this article is to introduce the notion of strongly generalized convex
functions which is called as strongly η-convex functions. Some related integral inequalities …

Majorization theorems for strongly convex functions

S Zaheer Ullah, M Adil Khan, YM Chu - Journal of Inequalities and …, 2019 - Springer
Majorization theorems for strongly convex functions | Journal of Inequalities and Applications
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Inequalities for strongly convex functions via Atangana-Baleanu integral operators

Ş Kızıl, MA Ardıç - Turkish Journal of Science, 2021 - dergipark.org.tr
Inequalities for strongly convex functions via Atangana-Baleanu Integral Operators Page 1
TURKISH JOURNAL OF SCIENCE VOLUME 6, ISSUE 2, 96–109 ISSN: 2587–0971 http:/dergipark.gov.tr/tjos …

[PDF][PDF] Some new classes of strongly generalized preinvex functions

MA Noor, KI Noor - TWMS J. Pure Appl. Math, 2021 - researchgate.net
In this paper, we define and introduce some new concepts of the relative strongly preinvex
functions and relative strongly monotone operators with respect to the auxiliary nonnegative …