Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
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Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions [PDF]
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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Generalized Petrovic’s Inequalities for Coordinated Exponentially m-Convex Functions
International Journal of Analysis and Applications, 2021 In this paper, we introduce a new class of convex function, which is called coordinated exponentially m-convex functions. Some new Petrovic’s type inequalities for exponentially m-convex functions and coordinated exponentially m-convex functions are ...
Wasim Iqbal +3 more
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Fractional Exponentially m-Convex Functions and Inequalities
International Journal of Analysis and Applications, 2019 In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are
Saima Rashid +2 more
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Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator [PDF]
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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On new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets [PDF]
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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Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications [PDF]
Mathematics, 2019 In the present paper, we investigate some Hermite-Hadamard ( HH ) inequalities related to generalized Riemann-Liouville fractional integral ( GRLFI ) via exponentially convex functions. We also show the fundamental identity for GRLFI
Saima Rashid +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 ${\mathbb D}$}.
Saminathan Ponnusamy +2 more
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Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions [PDF]
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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Inequalities involving new fractional integrals technique via exponentially convex functions
Ukrainian Mathematical Journal, 2021 UDC 517.5 We establish some new Hermite–Hadamard type inequalities involving fractional integral operators with the exponential kernel. Meanwhile, we present many useful estimates on these types of new Hermite–Hadamard type inequalities via exponentially convex functions.
Saima Rashid +2 more
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