Some novel inequalities for LR‐ ‐convex interval‐valued functions by means of pseudo‐order relation

M Bilal Khan, MA Noor… - … Methods in the …, 2022 - Wiley Online Library
In both theoretical and applied mathematics fields, integral inequalities play a critical role.
Due to the behavior of the definition of convexity, both concepts convexity and integral …

LR-preinvex interval-valued functions and Riemann–Liouville fractional integral inequalities

MB Khan, MA Noor, T Abdeljawad, AAA Mousa… - Fractal and …, 2021 - mdpi.com
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant
link between convexity and integral inequality. Due to the significance of these concepts, the …

[PDF][PDF] Treant, a, S

MB Khan, HG Zaini - Variational Problems and Applications, 2022 - files.znu.edu.ua
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

Some new versions of Hermite–Hadamard integral inequalities in fuzzy fractional calculus for generalized pre-invex Functions via fuzzy-interval-valued settings

MB Khan, MA Noor, NA Shah, KM Abualnaja… - Fractal and …, 2022 - mdpi.com
The purpose of this study is to prove the existence of fractional integral inclusions that are
connected to the Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for χ …

[PDF][PDF] Some new inequalities for LR-log-h-convex interval-valued functions by means of pseudo order relation

MB Khan, MA Noor, HM Al-Bayatti, KI Noor - Appl. Math. Inf. Sci, 2021 - researchgate.net
In this paper, we introduce the concept of LR-log-h-convex interval-valued functions. Under
the new concept, we present new versions of Hermite-Hadamard inequalities (ie LR-interval …

New class up and down λ-convex fuzzy-number valued map**s and related fuzzy fractional inequalities

MB Khan, HG Zaini, G Santos-García, MA Noor… - Fractal and …, 2022 - mdpi.com
The fuzzy-number valued up and down λ-convex map** is originally proposed as an
intriguing generalization of the convex map**s. The newly suggested map**s are then …

The new versions of hermite–hadamard inequalities for pre-invex fuzzy-interval-valued map**s via fuzzy riemann integrals

MB Khan, MA Noor, HG Zaini, G Santos-García… - International Journal of …, 2022 - Springer
In this study, we use the fuzzy order relation to show some novel variants of Hermite–
Hadamard inequalities for pre-invex fuzzy-interval-valued map**s (FI∙ V-Ms), which we …

Riemann–Liouville fractional integral inequalities for generalized pre-invex functions of interval-valued settings based upon pseudo order relation

MB Khan, HG Zaini, S Treanțǎ, MS Soliman… - Mathematics, 2022 - mdpi.com
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

New class up and down pre-invex fuzzy number valued map**s and related inequalities via fuzzy riemann integrals

MB Khan, G Santos-García, S Treanțǎ, MS Soliman - Symmetry, 2022 - mdpi.com
Numerous applications of the theory of convex and nonconvex map** exist in the fields of
applied mathematics and engineering. In this paper, we have defined a new class of …

Some new fractional estimates of inequalities for LR-p-convex interval-valued functions by means of pseudo order relation

MB Khan, PO Mohammed, MA Noor, D Baleanu… - Axioms, 2021 - mdpi.com
It is a familiar fact that interval analysis provides tools to deal with data uncertainty. In
general, interval analysis is typically used to deal with the models whose data are composed …