• Title, Summary, Keyword: convex functions

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NEW INEQUALITIES FOR GENERALIZED LOG h-CONVEX FUNCTIONS

  • NOOR, MUHAMMAD ASLAM;NOOR, KHALIDA INAYAT;SAFDAR, FARHAT
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.245-256
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    • 2018
  • In the paper, we introduce some new classes of generalized logh-convex functions in the first sense and in the second sense. We establish Hermite-Hadamard type inequality for different classes of generalized convex functions. It is shown that the classes of generalized log h-convex functions in both senses include several new and known classes of log h convex functions. Several special cases are also discussed. Results proved in this paper can be viewed as a new contributions in this area of research.

Certain Subclasses of k-Uniformly Starlike and Convex Functions of Order α and Type β with Varying Argument Coefficients

  • AOUF, MOHAMED KAMAL;MAGESH, NANJUNDAN;YAMINI, JAGADESAN
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.383-394
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    • 2015
  • In this paper, we define two new subclass of k-uniformly starlike and convex functions of order ${\alpha}$ type ${\beta}$ with varying argument of coefficients. Further, we obtain coefficient estimates, extreme points, growth and distortion bounds, radii of starlikeness, convexity and results on modified Hadamard products.