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- Itemlitz Determinants for a Subclass of Ana lytic Functions(2021) Ayinla Rasheed .O.; Bello Risikat .A.A new subclass of analytic functions that generalizes some known subclasses of analytic functions was defined and investigated. The bounds for Toeplitz determinants of T_2(2), T_2(3), T_3(1) and T_3(2) were obtained.
- ItemExploring Enhanced Conjugate Gradient Methods: A Novel Family of Techniques for Efficient Unconstrained Minimization(2024) O. B. Onuoha; R. O. Ayinla; G. Egenti; O. E. TaiwoGiven that the conjugate gradient method (CGM) is computationally efficient and user-friendly, it is often used to address large-scale, unconstrained minimization issues. Numerous researchers have created new conjugate gradient (CG) update parameters by modifying the initial set, also referred to as classical CGMs. This has resulted in the development of several hybrid approaches. This work’s major goal is to create a new family of techniques that can be used to create even more new methods. Consequently, Hestenes-Stiefel’s update parameter and a new family involving Polak-Ribiere-Polyak and Liu-Storey CGMs are considered. By changing the parameters of this CGM family, a novel approach that possesses sufficient descent characteristics is obtained. A numerical experiment including many unconstrained minimization problems (UMP) is carried out to assess the novel method’s efficacy compared to existing approaches. The result reveals that the new CG approach performs better than the current ones.
- ItemSome coefficient properties of a certain family of regular functions associated with lemniscate of Bernoulli and Opoola differential operator(2024) Rasheed Olawale Ayinla; Ayotunde Olajide LasodeIn this exploration, we introduce a certain family of regular (or analytic) functions in association with the right half of the Lemniscate of Bernoulli and the well-known Opoola differential operator. For the regular function f studied in this work, some estimates for the early coefficients, Fekete-Szego functionals and second and third Hankel determinants are established. Another established result is the sharp upper estimate of the third Hankel determinant for the inverse function f^(−1) of f .
- ItemEstimates of Fekete-Szeg¨o Functional of a Sub class of Analytic and Bi-Univalent Functions by Means of Chebyshev Polynomials(2021-02-24) Ayinla Rasheed .O.In this work, a new subclass CΦ(γ, σ, n, t) of analytic and bi-univalent functions is defined by subordination principle and investigated. The initial coefficient bounds and the upper estimates of the Fekete-Szeg¨o functional were obtained using Chebyshev polynomials.
- ItemNEW RESULTS ON A SUBCLASS OF ANALYTIC FUNCTIONS(2017) Ayinla, R. O.; Opoola, T. O.In this work, we define a new subclass of analytic functions C^(n)δ which generalizes some known subclasses of analytic functions studied by many authors. For the class C^(n)δ , we obtained the coefficient bound and an upper bound for the functional .