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Transylvanian Journal Of Mathematics And Mechanics
ISSN: 2067-239X
ISSN(on-line): 2067-239X

Indexed in:
Mathematical Reviews
Zentralblatt MATH

Front cover
Front cover

Volume 10 (2018), Number 1

Some Properties of Certain Subclasses of Analytic Functions Associated with Generalized Differential Operator Involving Mittag-Leffler Function

Author(s): SUHILA ELHADDAD and MASLINA DARUS

Abstract: A subclass in the open unit disc of analytic functions is introduced in this paper. This subclass 𝒮𝜗m, δ(λ ,α,β ,A,B) is mainly defined by generalized differential Operator. Some interesting properties of this class are also obtained.

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Existence, Interval of Existence and Uniqueness of Solutions for Nonlinear Implicit Caputo Fractional Differential Equations

Author(s): MOUSSA HAOUES, ABDELOUAHEB ARDJOUNI and AHCENE DJOUDI

Abstract: In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear implicit Caputo fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solutions. The results obtained here extend the work of Dong, Feng and Jiang in [6].

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On Weighted Ostrowski Grüss Inequality with Applications

Author(s): NAZIA IRSHAD and ASIF R. KHAN

Abstract: The purpose of present article is to obtain weighted Ostrowski Grüss type inequality for differentiable functions by using weighted Korkine’s identity. We also discussed its applications into probability density function and numerical quadrature rules.

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Ishikawa Iteration With Errors for Nearly Weak Uniformly L-Lipschitzian Mappings

Author(s): ADESANMI ALAO MOGBADEMU

Abstract: In this paper, we discuss a new class of nearly weak uniformly L-Lipschitzian mappings and prove some strong convergence results of the modified Ishikawa iteration with errors in real Banach spaces. Our results are new extensions of some well-known results from the existing literature (see, e.g., [2], [4], [6] and many others). An open problem is posed.

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Second and Third Hankel Determinant for a Class Defined by Generalized Polylogarithm Functions

Author(s): MOHD NAZRAN MOHAMMED PAUZI, MASLINA DARUS and SAIBAH SIREGAR

Abstract: By making use of 𝔇λmf(z), the generalized Polylogarithms derivative operator introduced by Al-Saqsi and Darus [4] defined by

𝔇λm f(z) = z + n =2 nm(n + λ 1 )!λ !(n 1) !an zn,
where m 0 = {0,1 ,2,3, ... }. The sharp upper bound for the second Hankel determinant H2 ,2(f ) and third Hankel determinant H3 ,1(f ) is obtained. Relevant connections of the results presented here with those given in earlier works are also indicated.

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On a Certain Subclass of Uniformly Convex Functions Defined by Bessel Functions

Author(s): P. THIRUPATHI REDDY and B. VENKATESWARLU

Abstract: The aim of the present paper is to investigate some characterization for generalized Bessel functions of first kind is to be subclass of analytic functions. Furthermore we studied coefficient estimates, radius of starlikeness, convexity, close - to - convexity, convex linear combinations for the class UB (γ,c ). Finally we proved Integral means inequalities for the class.

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