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3. Inequalities related to Symmetrized Harmonic Convex Functions

Author

Wu, Shanhe, Ali, Basharat Rehman, Baloch, Imran Abbas, and Haq, Absar Ul

Subjects
Mathematics - Classical Analysis and ODEs, 26A51
Abstract

In this paper, we extend the Hermite-Hadamard type $\dot{I}$scan inequality to the class of symmetrized harmonic convex functions. The corresponding version for harmonic h-convex functions is also investigated. Furthermore, we establish Hermite-Hadamard type inequalites for the product of a harmonic convex function with a symmetrized harmonic convex function., Comment: 10 papes Article

Published
2017

4. Almost complex structures that are harmonic maps

Author

Davidov, Johann, Haq, Absar Ul, and Mushkarov, Oleg

Subjects
Mathematics - Differential Geometry, 53C43 (Primary), 58E20, 53C28 (Secondary)
Abstract

We find geometric conditions on a four-dimensional almost Hermitian manifold under which the almost complex structure is a harmonic map or a minimal isometric imbedding of the manifold into its twistor space., Comment: to appear in J. Geom. Phys

Published
2015

6. Generators of Maximal Subgroups of Harada-Norton and some Linear Groups

Author

Liu Jia-Bao, Yasin Faisal, Farooq Adeel, and Haq Absar Ul

Subjects
harada-norton group, maximal subgroup, generators, finite group, normalizer, Chemistry, QD1-999
Abstract

Group theory, the ultimate theory for symmetry, is a powerful tool that has a direct impact on research in robotics, computer vision, computer graphics and medical image analysis. Symmetry is very important in chemistry research and group theory is the tool that is used to determine symmetry. Usually, it is not only the symmetry of molecule but also the symmetries of some local atoms, molecular orbitals, rotations and vibrations of bonds, etc. that are important. Harada-Norton group is an example of a sporadic simple group. There are 14 maximal subgroups of Harada-Norton group. Generators (also known as words) of 11 maximal subgroups are already known. The aim of this note is to give generators of the remaining 3 maximal subgroups, which is an open problem mentioned on A World-wide-web Atlas of Group Representations (http://brauer.maths.qmul.ac.uk/Atlas) [1]. In this report we compute the generators of A6 × A6.D8, 23+2+6.(3 × L3(2)) and 34 : 2.(A4 × A4).4. Moreover we also compute the generators for the Maximal subgroups of some linear groups.

Published
2019
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9. Fixed Point Results via Orthogonal (α − −)-Contraction in Orthogonal Complete Metric Space.

Author

Liu, Xiaolan, Nallaselli, Gunasekaran, Haq, Absar Ul, Gnanaprakasam, Arul Joseph, and Baloch, Imran Abbas

Subjects
METRIC spaces, DIFFERENTIAL equations, INTEGRAL equations, ANALYTICAL solutions, CONTRACTIONS (Topology), SYMMETRY
Abstract

In this publication, we establish a suitable symmetry structure for orthogonal (α − y − G) -contractive mappings and prove fixed point results for an orthogonal (α − y − G) -contractive via orthogonal metric spaces. We give an application to strengthen our main results from the existing literature to prove the existence of a unique analytical solution to the differential equation by converting it into an integral equation through fixed point analysis. [ABSTRACT FROM AUTHOR]

Published
2023
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22. Generalized Fractional Integral Inequalities for MT-Non-Convex and pq-Convex Functions.

Author

Wang, Wei, Haq, Absar Ul, Saleem, Muhammad Shoaib, and Zahoor, Muhammad Sajid

Subjects
*GENERALIZED integrals, *FRACTIONAL integrals, *INTEGRAL inequalities, *APPLIED mathematics
Abstract

Fractional integral inequalities have a wide range of applications in pure and applied mathematics. In the present research, we establish generalized fractional integral inequalities for MT-non-convex functions and p q -convex functions. Our results extended many inequalities already existing in the literature. [ABSTRACT FROM AUTHOR]

Published
2022
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