1,721,023 research outputs found

    ON NEW WEIGHTED OSTROWSKI TYPE INEQUALITIES FOR CO-ORDINATED s-CONVEX FUNCTIONS

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    In this paper, we obtain some new weighted Ostrowski type inequalities for co-ordinated s-convex functions. Furthermore we present some weighted Midpoint type inequalities as special cases of main results. We also show that our results generalize the results obtained earlier studies. © 2021, Erhan SET. All rights reserved

    COEFFICIENT ESTIMATES FOR TWO NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY LUCAS-BALANCING POLYNOMIALS

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    In the present paper, by making use of Lucas-Balancing polynomials two new subclasses of regular and bi-univalent functions are introduced. Then, some upper bounds are determined for the Taylor-Maclaurin coefficients. In addition, the Fekete-Szegö problem is handled for the functions belonging to these new subclasses. Morever, a few corollaries of the results are indicated for certain values of the parameters. © 2023, Erhan SET. All rights reserved

    RECENT DEVELOPMENTS OF INTEGRAL INEQUALITIES OF THE HARDY-HILBERT TYPE

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    Our aim in this study will be to obtain a new Hardy-Hilbert type of inequalities, taking into account the two studies by given Sulaiman and Wei-Lei. © 2025 Elsevier B.V., All rights reserved

    NEW GENERALIZATIONS OF HERMITE-HADAMARD TYPE INEQUALITIES

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    In this study, we present a new generalization of the Hermite-Hadamard type inequalities for convex functions using a newly developed generalized an identity, which is rigorously proven. Moreover, we present new inequalities that are closely linked to both the left and right-hand side of the Hermite-Hadamard inequalities for Riemann and Riemann-Liouville fractional integrals. The results of this study build upon previous works and provide additional insights. © 2025 Elsevier B.V., All rights reserved

    Some new hermite-hadamard type inequalities via non-conformable fractional integrals

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    In this paper, some new inequalities for product of two convex functions have been proved via non-conformable fractional integrals. We also establish several new integral inequalities including non-conformable fractional integrals for quasi-convex functions and s−Godunova-Levin functions by using two important integral identities. In order to obtain our results, we have used fairly elementary methodology by using the classical inequalities like power mean inequality and properties of modulus
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