Results 11 to 20 of about 78,871 (265)

Inequalities Involving Conformable Approach for Exponentially Convex Functions and Their Applications

Journal of Function Spaces, 2020
In the article, we present several Hermite–Hadamard-type inequalities for the exponentially convex functions via conformable integrals. As applications, we give new inequalities for certain bivariate means.
Jun-Feng Li, Saima Rashid, Jia-Bao Liu, Ahmet Ocak Akdemir, Farhat Safdar   +4 more
doaj   +3 more sources

Optimal Scheduling of Non-Convex Cogeneration Units Using Exponentially Varying Whale Optimization Algorithm

Energies, 2021
This paper proposes an Exponentially Varying Whale Optimization Algorithm (EVWOA) to solve the single-objective non-convex Cogeneration Units problem. This problem seeks to evaluate the optimal output of the generator unit to minimize a CHP system’s fuel
Vinay Kumar Jadoun, G. Rahul Prashanth, Siddharth Suhas Joshi, Anshul Agarwal, Hasmat Malik, Majed A. Alotaibi, Abdulaziz Almutairi   +6 more
doaj   +3 more sources

Exponentially convex functions generated by Wulbert’s inequality and Stolarsky-type means

Mathematical and Computer Modelling, 2012
Let $-\infty
Josip Pecaric, I Perić
exaly   +3 more sources

Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions

Journal of Mathematics, 2021
In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially α,h−m-convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex,
Shasha Li, Ghulam Farid, Atiq Ur Rehman, Hafsa Yasmeen   +3 more
doaj   +1 more source

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, Vasudevarao, Allu, Vuorinen, M.   +2 more
openaire   +4 more sources

New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

Journal of Mathematics, 2022
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon, Ghulam Farid, Ammara Nosheen, Muhammad Yussouf, Ebenezer Bonyah   +4 more
doaj   +1 more source

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, Mario Krnić, Josip ‎Pečarić   +2 more
openaire   +3 more sources

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, Ghulam Farid, Josip Pečarić, Saira Bano Akbar   +3 more
doaj   +1 more source

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

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
doaj   +1 more source

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, Josip ‎Pečarić, Atiq Ur Rehman   +2 more
openaire   +1 more source