[HTML][HTML] Hermite–Hadamard type inequalities involving k-fractional operator for (h, m)-convex functions

SK Sahoo, H Ahmad, M Tariq, B Kodamasingh, H Aydi… - Symmetry, 2021 - mdpi.com
The principal motivation of this paper is to establish a new integral equality related to k-
Riemann Liouville fractional operator. Employing this equality, we present several new …

[HTML][HTML] New estimations of Hermite–Hadamard type integral inequalities for special functions

H Ahmad, M Tariq, SK Sahoo, J Baili, C Cesarano - Fractal and fractional, 2021 - mdpi.com
In this paper, we propose some generalized integral inequalities of the Raina type depicting
the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex …

[HTML][HTML] Refinements of Ostrowski type integral inequalities involving Atangana–Baleanu fractional integral operator

H Ahmad, M Tariq, SK Sahoo, S Askar, AE Abouelregal… - Symmetry, 2021 - mdpi.com
In this article, first, we deduce an equality involving the Atangana–Baleanu (AB)-fractional
integral operator. Next, employing this equality, we present some novel generalization of …

The Hermite-Hadamard type inequality and its estimations via generalized convex functions of Raina type

M Tarıq, H Ahmad, SK Sahoo - Mathematical Modelling and …, 2021 - dergipark.org.tr
The theory of convexity plays an important role in various branches of science and
engineering. The main objective of this work is to introduce the idea of a generalized convex …

[HTML][HTML] Fractional calculus for convex functions in interval-valued settings and inequalities

MB Khan, HG Zaini, S Treanțǎ, G Santos-García… - Symmetry, 2022 - mdpi.com
In this paper, we discuss the Riemann–Liouville fractional integral operator for left and right
convex interval-valued functions (left and right convex I∙ VF), as well as various related …

[PDF][PDF] Some Ostrowski type inequalities via n-polynomial exponentially s-convex functions and their applications

M Tariq, SK Sahoo, J Nasir, H Aydi, H Alsamir - AIMS Math, 2021 - aimspress.com
This paper deals with introducing and investigating a new convex map** namely,
npolynomial exponentially s-convex. Here, we present some algebraic properties and some …

[PDF][PDF] Maclaurin's inequalities for functions whose first derivatives are preinvex

B Meftah, N Allel - Journal of Mathematical Analysis and Modeling, 2022 - sabapub.com
Maclaurin’s inequalities for functions whose first derivatives are preinvex Page 1 Journal of
Mathematical Analysis and Modeling J Math Anal & Model jmam.sabapub.com (2022)3(2) …

New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator

M Tariq, H Ahmad, AG Shaikh, SK Sahoo, KM Khedher… - 2021 - acikerisim.ticaret.edu.tr
Özet It's undeniably true that fractional calculus has been the focus point for numerous
researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator …

[HTML][HTML] Some Fuzzy Riemann–Liouville Fractional Integral Inequalities for Preinvex Fuzzy Interval-Valued Functions

MB Khan, HG Zaini, JE Macías-Díaz, S Treanțǎ… - Symmetry, 2022 - mdpi.com
The main objective of this study is to introduce new versions of fractional integral inequalities
in fuzzy fractional calculus utilizing the introduced preinvexity. Due to the behavior of its …