Results 21 to 30 of about 90,126 (252)
Axioms, 2023 Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
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Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions
Fractal and Fractional, 2023 In this paper, we aim to find unified estimates of fractional integrals involving Mittag–Leffler functions in kernels. The results obtained in terms of fractional integral inequalities are provided for various kinds of convex and related functions.
Yonghong Liu +3 more
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Region of Variability for Exponentially Convex Univalent Functions [PDF]
Complex Analysis and Operator Theory, 2010 For $α\in\IC\setminus \{0\}$ let $\mathcal{E}(α)$ denote the class of all univalent functions $f$ in the unit disk $\mathbb{D}$ and is given by $f(z)=z+a_2z^2+a_3z^3+\cdots$, satisfying $$ {\rm Re\,} \left (1+ \frac{zf''(z)}{f'(z)}+αzf'(z)\right)>0 \quad {in ${\mathbb D}$}.
Ponnusamy, Saminathan +2 more
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Journal of Function Spaces, 2023 In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled.
Ahmet Ocak Akdemir +3 more
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Superadditivity, Monotonicity, and Exponential Convexity of the Petrović‐Type Functionals [PDF]
Abstract and Applied Analysis, 2012 We consider functionals derived from Petrović‐type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n‐tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity.
Saad Ihsan Butt +2 more
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Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions
Journal of Inequalities and Applications, 2020 In this paper we have derived the fractional integral inequalities by defining exponentially ( s , m ) $(s,m)$ -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals ...
Xiaoli Qiang +3 more
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Exponential convexity of Petrović and related functional [PDF]
Journal of Inequalities and Applications, 2011 We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions. We construct positive semi-definite matrices generated by these functionals and give some related results. At the end, we give some examples.
Saad Ihsan Butt +2 more
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Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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Exponential Starlikeness and Convexity of Confluent Hypergeometric, Lommel, and Struve Functions [PDF]
Mediterranean Journal of Mathematics, 2020 Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind and the confluent hypergeometric function under which these special functions become exponential convex and exponential starlike in the open unit disk.
Adiba Naz, Sumit Nagpal, V. Ravichandran
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