Prof. Alomari is a Full Professor of Mathematics (Real Analysis-Inequalities) at Jadara University-Jordan. His main research area includes; Analytic inequalities, Approximation theory, Hilbert space, and Theory of real functions. Since 2008, Prof. Alomari published more than 100 articles in his research area. He has the same number of unpublished preprints and drafts.
RESEARCH, TEACHING, or OTHER INTERESTS
Analysis, General Mathematics, Numerical Analysis, Mathematics
GENERALISATION OF COMPANION OF OSTROWSKI'S TYPE INEQUALITY VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL FOR MAPPINGS WHOSE 1st DERIVATIVES ARE BOUNDED WITH APPLICATIONS FARAZ MEHMOOD, ASIF R. KHAN, MUHAMMAD AWAIS SHAIKH, MOHAMMAD W. ALOMARI, and Kragujevac Journal of Mathematics, 2026 We apply Riemann-Liouville fractional integral to get generalisation of companion of Ostrowski’s type integral inequality for differentiable mappings whose 1st derivatives are bounded. The present article recapture all results of M. W. Alomari’s article and also for one more article of different authors. Applications are also deduced for numerical integration, probability theory and special means.
High-Accuracy Spectral-like Legendre–Darboux Method for Initial Value Problems Mohammad W. Alomari Mathematics, 2025 A high-order single-step implicit method, the Legendre–Darboux Method of order six (LDM6), is introduced for solving both linear and nonlinear initial value problems. Unlike classical Taylor expansions, LDM6 systematically constructs higher-order derivatives via the Darboux formula with Legendre polynomials, yielding a compact scheme of exceptional accuracy and strong stability. To the best of current knowledge, LDM6 is the only single-step method exhibiting spectral-like behavior, achieving near machine-precision global accuracy while retaining efficiency for large step sizes. Comparative experiments on nonlinear cooling problems and the logistic growth model demonstrate that LDM6 surpasses the classical eighth-stage Runge–Kutta method (RK6) in accuracy, stability, and robustness. It attains unprecedented global errors as low as 10−38 and maintains stability for large steps (e.g., h=10), whereas RK6 suffers significant error accumulation. These results establish LDM6 as a uniquely efficient, high-fidelity integrator and the first single-step method with spectral-like accuracy, offering a new paradigm for high-precision time integration.
On the Euclidean operator radius and norm M Alomari, HR Moradi, M Sababheh Iranian Journal of Science 50 (2), 785-795 , 2026 2026 Citations: 5
Bounds for the Chebyshev Functional Defined on the q-Circles with Application MW Alomari, MK Bakula Preprints , 2026 2026
On the Grüss type inequalities within -disks with applications MW Alomari Ukrainian Mathematical Journal 78 (11), Article: 11 , 2026 2026 Citations: 1
The Obreschkoff–Ostrowski’s inequalities via Fink type identity MW Alomari, GV Milovanović Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2026 2026
Generalisation of Companion of Ostrowski’s Type Inequality Via Riemann-Liouville Fractional Integral for Mappings whose 1st Derivatives are Bounded with Applications F MEHMOOD, AR KHAN, MA SHAIKH, MW ALOMARI Kragujevac Journal of Mathematics 50 (2), 273-286 , 2026 2026 Citations: 1
Some generalizations of reverse power inequalities for log-concave functions MA IGHACHANE, M BOUCHANGOUR, MW ALOMARI Applied Set-Valued Analysis and Optimization 7 (3), 291-311 , 2025 2025
High-Accuracy Spectral-like Legendre–Darboux Method for Initial Value Problems MW Alomari Mathematics 13 (20), 3319 , 2025 2025 Citations: 1
Inequalities for the integral mean of Hölder continuous functions on planar p -disks MW Alomari Integral Transforms and Special Functions, 1-19 , 2025 2025
The Hermite-Hadamard's inequality over p-spheres and related inequalities for the integral means MW Alomari Journal of Mathematical Inequalities 19 (2), 491-516 , 2025 2025
On the Ostrowski Inequality on q-Disks MW Alomari, C Chesneau Lobachevskii Journal of Mathematics 46 (6), 2951-2969 , 2025 2025
Surpassing Taylor Method: Generalized Taylor Method for Solving Initial Value Problems MO Mohammad W Alomari, Iqbal M Batiha, Shaher Momani, Praveen Agarwal Boletim da Sociedade Paranaense de Matematica 43 (1), 1-13 , 2025 2025 Citations: 4
GRÜSS TYPE INEQUALITIES OVER p -DISKS WITH APPLICATIONS MW Alomari Journal of Mathematical Sciences 290 (4), 441-456 , 2025 2025 Citations: 3
A Comparative Analysis of Numerical Techniques: Euler-Maclaurin vs. Runge-Kutta Methods MW Alomari, IM Batiha, A Al-Nana, M Odeh, N Anakira, S Momani Journal of Robotics and Control (JRC) 6 (2), 812-821 , 2025 2025 Citations: 2
Revolutionizing Numerical Approximations: A Novel Higher-Order Implicit Method vs. Runge-Kutta for Initial Value Problems MW Alomari, IM Batiha, N Anakira, A Amourah, IH Jebril, S Momani Journal of Robotics and Control (JRC) 6 (2), 624-637 , 2025 2025 Citations: 3
Numerical advancements: A duel between Euler-Maclaurin and Runge-Kutta for initial value problem IM Batiha, MW Alomari, N Anakira, S Meqdad, IH Jebril, S Momani International Journal of Neutrosophic Science 25 (3), 76-91 , 2025 2025 Citations: 7
New Higher-Order Implicit Method for Approximating Solutions of Boundary-Value Problems SM Iqbal M Batiha, Mohammad W Alomari, Iqbal H Jebril, Thabet Abdeljawad ... International Journal of Neutrosophic Science 25 (4), 389-398 , 2025 2025 Citations: 3
BEREZIN RADIUS INEQUALITIES VIA ORLICZ FUNCTION MWAHB M. Gürdal Palestine Journal of Mathematics 14 (1), 928–945 , 2025 2025 Citations: 3
Euler-Maclaurin method for approximating solutions of initial value problems MW Alomari, IM Batiha, WA Alkasasbeh, N Anakira, IH Jebril, S Momani International Journal of Robotics and Control Systems 5 (1), 366-380 , 2025 2025 Citations: 4
Corrigendum to “Improved Berezin radius inequalities for functional Hilbert space operators”[Turkish Journal of Mathematics 49 (5) 2025 545-561] M Bakherad, U YAMANCI, MW Alomari Turkish Journal of Mathematics 49 (6), 872-872 , 2025 2025
Improved Berezin radius inequalities for functional Hilbert space operators M Bakherad, U YAMANCI, MW Alomari Turkish Journal of Mathematics 49 (5), 545-561 , 2025 2025 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense M Alomari, M Darus, SS Dragomir, P Cerone Applied mathematics letters 23 (9), 1071-1076 , 2010 2010 Citations: 355
New inequalities of Simpson's type for s-convex functions with applications M Alomari, M Darus, SS Dragomir Research report collection 12 (4) , 2009 2009 Citations: 290
Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means M Alomari, M Darus, US Kirmaci Computers & mathematics with applications 59 (1), 225-232 , 2010 2010 Citations: 216
Inequalities of Hermite-Hadamard's type for functions whose derivatives absolute values are quasi-convex M Alomari, M Darus, SS Dragomir Research report collection 12 (Supp) , 2009 2009 Citations: 210
The Hadamard’s inequality for s-convex function of 2-variables on the co-ordinates M Alomari, M Darus Int. J. Math. Anal 2 (13), 629-638 , 2008 2008 Citations: 203
On the Hadamard's inequality for log-convex functions on the coordinates M Alomari, M Darus Journal of Inequalities and Applications 2009 (1), 283147 , 2009 2009 Citations: 175
Some inequalities of Hermite–Hadamard type for s-convex functions MW Alomari, M Darus, US Kirmaci Acta Mathematica Scientia 31 (4), 1643-1652 , 2011 2011 Citations: 159
Hadamard-type inequalities for product two convex functions on the co-ordinates MA Latif, M Alomari International Mathematical Forum 4 (47), 2327-2338 , 2009 2009 Citations: 155
Some Ostrowski type inequalities for quasi-convex functions with applications to special means M Alomari, M Darus RGMIA Res. Rep. Coll 13 (2), 6 , 2010 2010 Citations: 141
On Hadamard-type inequalities for h-convex functions on the co-ordinates MA Latif International Journal of Mathematical Analysis , 2009 2009 Citations: 135
Hadamard-type inequalities for s-convex functions M Alomari, M Darus Int. Math. Forum 3 (40), 1965-1975 , 2008 2008 Citations: 106
Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities M Alomari, M Darus Int. J. Contemp. Math. Sci 3 (32), 1557-1567 , 2008 2008 Citations: 99
Integral inequalities via several kinds of convexity ME Ozdemir, E Set, M Alomari Creat. Math. Inform 20 (1), 62-73 , 2011 2011 Citations: 98
On some inequalities of Simpson-type via quasi-convex functions and applications M Alomari, M Darus Transylvanian Journal of Mathematics and Mechanics 2 (1), 15-24 , 2010 2010 Citations: 68
Two inequalities of Simpson type for quasi-convex functions and applications M Alomari, S Hussain Appl. Math. E-Notes 11, 110-117 , 2011 2011 Citations: 62
A companion of Ostrowski's inequality for mappings whose first derivatives are bounded and applications in numerical integration MW Alomari Kragujevac Journal of Mathematics 36 (38), 77-82 , 2012 2012 Citations: 55
A companion of Ostrowski’s inequality with applications MW Alomari Transylv. J. Math. Mech 3 (1), 9-14 , 2011 2011 Citations: 53
Generalized double-integral Ostrowski type inequalities on time scales S Hussain, MA Latif, M Alomari Applied Mathematics Letters 24 (8), 1461-1467 , 2011 2011 Citations: 50
Consolidation of a certain discrete probability distribution with a subclass of bi‐univalent functions involving Gegenbauer polynomials A Amourah, M Alomari, F Yousef, A Alsoboh Mathematical Problems in Engineering 2022 (1), 6354994 , 2022 2022 Citations: 43
A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation MW Alomari International Journal of Nonlinear Sciences and Numerical Simulation 21 (7-8 … , 2020 2020 Citations: 43
