Analytic and geometric function theory

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• UĞUR SELAMET KIRMACI

In this paper, we introduce and investigate an interesting subclass N?h,p (?, ?) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class N?h,p (?, ?), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would…

• MURAT ÇAĞLAR

In this paper, we introduce and investigate each of the following subclasses:

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• OSMAN ALTINTAŞ

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• SİBEL YALÇIN TOKGÖZ

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. Some interesting recent developments invo…

• SEVTAP SÜMER

In this paper we establish improved Hardy and Rellich type inequalities on a Riemannian manifold $M$. Furthermore, we also obtain sharp constants for improved Hardy and Rellich type inequalities on the hyperbolic space $\mathbb {H}^n$.

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• OSMAN ALTINTAŞ

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• ŞERİFE NEVİN GÜRBÜZ

Abstract In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion of $q^{b}$ qb -integral. We prove some new inequalities related with right-hand sides of $q^{b}$ qb -Hermite–Hadamard inequalities for differentiable functions with convex absolute values of second derivativ…

• HÜSEYİN BUDAK

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• SEVTAP SÜMER

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• HARUN KARSLI