Yazar "Cekic, Bilal" seçeneğine göre listele

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    Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces
    (Hindawi Ltd, 2017) Cekic, Bilal; Alabalik, Aysegul Celik
    In this article, we give the boundedness conditions in terms of Zygmund-type integral inequalities for oscillatory integral operators and fractional oscillatory integral operators on the vanishing generalized weighted Morrey spaces. Moreover, we investigate corresponding commutators.
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    CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH MILLER-ROSS-TYPE POISSON DISTRIBUTION SERIES
    (Honam Mathematical Soc, 2022) Seker, Bilal; Eker, Sevtap Sumer; Cekic, Bilal
    The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross type-Poisson distribution series, to belong to classes G(lambda, (5) and K(lambda, (5).
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    A CLASS OF POISSON DISTRIBUTIONS BASED UPON A TWO-PARAMETER MITTAG-LEFFLER TYPE FUNCTION
    (Yokohama Publ, 2023) Srivastava, H. M.; Sekar, Bilal; Eker, Sevtap Sumer; Cekic, Bilal
    In this paper, we introduce and investigate a new generalization of the Poisson distribution by using a special function of the Mittag-Leffler type, which has arisen in the study of fractional calculus and fractional differential equations. For this class of Poisson type distributions based upon a two-parameter Mittag-Leffler type function, we derive several potentially useful properties including, for example, expressions for the rth moment and other associated entities.
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    Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces
    (Hindawi Ltd, 2010) Cekic, Bilal; Mashiyev, Rabil A.
    In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition.
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    On Subclasses of Analytic Functions Associated with Miller-Ross-Type Poisson Distribution Series
    (Univ Maragheh, 2022) Seker, Bilal; Eker, Sevtap Sumer; Cekic, Bilal
    The aim of this article is to obtain some necessary and sufficient conditions for functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to certain subclasses of analytic and univalent functions. Furthermore, we consider an integral operator related to the Miller-Ross type Poisson distribution series.
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    The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α
    (Springer, 2024) Seker, Bilal; Cekic, Bilal; Sumer, Sevtap; Akcicek, Onur
    In this paper, we obtain sharp bounds for the second Hankel determinant of logarithmic coefficients H2,1(Ff/2) of bounded turning functions of order alpha. Furthermore, we obtain sharp bounds of the second Hankel determinant of logarithmic inverse coefficients of H-2,H-1(Ff-1/2), where f(-1) is the inverse function of f. For the class P '(alpha), we conclude that the bounds for H2,1(F-f /2) and H-2,H-1(Ff-1/2) are the same only for 1/4 <= alpha < 1.
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    SECOND HANKEL DETERMINANT OF THE LOGARITHMIC COEFFICIENTS FOR A SUBCLASS OF UNIVALENT FUNCTIONS
    (Univ Miskolc Inst Math, 2024) Srivastava, Hari mohan; Eker, Sevtap sumer; Seker, Bilal; Cekic, Bilal
    In the present paper, we give the bounds for the second Hankel determinant of the logarithmic coefficients of a certain subclass of normalized univalent functions, which we have introduced here. Relevant connections of the results, which we have presented here, with those available in the existing literature are also described briefly.
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    Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions
    (Mdpi, 2022) Eker, Sevtap Sumer; Seker, Bilal; Cekic, Bilal; Acu, Mugur
    The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of univalent functions themselves or to their powers, via the Lebedev-Milin inequalities; therefore, it is interesting to investigate the Hankel determinant whose entries are logarithmic coefficients. The main purpose of this paper is to obtain the sharp bounds for the second Hankel determinant of logarithmic coefficients of strongly starlike functions and strongly convex functions.
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    Solutions of an anisotropic nonlocal problem involving variable exponent
    (Walter De Gruyter Gmbh, 2013) Avci, Mustafa; Ayazoglu (Mashiyev), Rabil A.; Cekic, Bilal
    The present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain Omega of R-N (N >= 3). The problem studied is a stationary version of the original Kirchhoff equation, involving the anisotropic (p) over right arrow( . )-Laplacian operator, in the framework of the variable exponent Lebesgue and Sobolev spaces. The question of the existence of weak solutions is treated. Applying the Mountain Pass Theorem of Ambrosetti and Rabinowitz, the existence of a nontrivial weak solution is obtained in the anisotropic variable exponent Sobolev space W-0(1,(p) over right arrow(.))(Omega), provided that the positive parameter lambda that multiplies the nonlinearity f is small enough.
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    Spiral-like functions associated with Miller-Ross-type Poisson distribution series
    (Springer Int Publ Ag, 2023) Eker, Sevtap Sumer; Murugusundaramoorthy, Gangadharan; Seker, Bilal; Cekic, Bilal
    The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to class of spiral-like univalent functions.