New Hermite–Hadamard-type inequalities for-convex fuzzy-interval-valued functions

MB Khan, MA Noor, KI Noor, YM Chu - Advances in Difference Equations, 2021 - Springer
In this paper, we introduce the non-convex interval-valued functions for fuzzy-interval-valued
functions, which are called-convex fuzzy-interval-valued functions, by means of fuzzy order …

[图书][B] Convex functions and their applications

C Niculescu, LE Persson - 2006 - Springer
Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators

E Set, SI Butt, AO Akdemir, A Karaoǧlan… - Chaos, Solitons & …, 2021 - Elsevier
Inequalities, including fractional integrals, have become a very popular method and have
been the main motivation point for many studies in recent years. Studies have been carried …

[引用][C] Generalized Bessel functions of the first kind

A Baricz - Lecture Notes in Mathematics/Springer-Verlag, 2010 - books.google.com
In this volume we study the generalized Bessel functions of the first kind by using a number
of classical and new findings in complex and classical analysis. Our aim is to present …

New Hadamard-type integral inequalities via a general form of fractional integral operators

SI Butt, S Yousaf, AO Akdemir, MA Dokuyucu - Chaos, Solitons & Fractals, 2021 - Elsevier
The main motivation in this article is to prove a new and general integral identity and to
obtain new integral inequalities of various Hadamard types with the help of this identity …

[HTML][HTML] Some new classes of preinvex fuzzy-interval-valued functions and inequalities

MB Khan, MA Noor, L Abdullah… - International Journal of …, 2021 - atlantis-press.com
It is well known that convexity and nonconvexity develop a strong relationship with different
types of integral inequalities. Due to the importance of the concept of nonconvexity and …

[PDF][PDF] Concavity of the error function with respect to Hölder means

YM Chu, TH Zhao - Math. Inequal. Appl, 2016 - files.ele-math.com
Concavity of the error function with respect to Hölder means Page 1 M athematical I nequalities
& A pplications Volume 19, Number 2 (2016), 589–595 doi:10.7153/mia-19-43 CONCAVITY …

Hermite–Hadamard type inequalities via generalized harmonic exponential convexity and applications

SI Butt, M Tariq, A Aslam, H Ahmad… - Journal of Function …, 2021 - Wiley Online Library
In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential
type convex functions. In addition, we elaborate the newly introduced idea by examples and …

[HTML][HTML] On fuzzy fractional integral operators having exponential kernels and related certain inequalities for exponential trigonometric convex fuzzy-number valued …

MB Khan, HA Othman, G Santos-García, T Saeed… - Chaos, Solitons & …, 2023 - Elsevier
The most important operator in fractional theory that enables the classical theory of integrals
to be generalized is the Riemann-Liouville fractional integrals. In this paper, we have …

[PDF][PDF] The Hermite-Hadamard type inequality of GA-convex functions and its application

XM Zhang, YM Chu, XH Zhang - Journal of Inequalities and Applications, 2010 - Springer
Research Article The Hermite-Hadamard Type Inequality of GA-Convex Functions and Its
Application Page 1 Hindawi Publishing Corporation Journal of Inequalities and Applications …