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Integral Inequalities and Generalized Convexity

Mishra Shashi Kant Sharma, Nidhi Bisht, Jaya
Innbundet / 2023 / Engelsk

Produktdetaljer

ISBN
9781032526324
Publisert
2023-09-18
Utgiver
Vendor
Chapman & Hall/CRC
Vekt
920 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
U, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
258

Forfatter
Mishra Shashi Kant
Sharma, Nidhi
Bisht, Jaya

Om bidragsyterne

Shashi Kant Mishra Ph.D., D.Sc. is Professor at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India, with over 24 years of teaching experience. He has authored eight books, including textbooks and monographs, and has been on the editorial boards of several important international journals. He has guest edited special issues of the Journal of Global Optimization; Optimization Letters (both Springer Nature) and Optimization (Taylor & Francis). He has received INSA Teacher Award 2020 from Indian National Science Academy, New Delhi and DST Fast Track Fellow 2001 from Ministry of Science and Technology, Government of India. Prof. Mishra has published over 203 research articles in reputed international journals and supervised 21 Ph.D. students. He has visited around 15 institutes/ universities in countries such as France, Canada, Italy, Spain, Japan, Taiwan, China, Singapore, Vietnam, and Kuwait. His current research interest includes mathematical programming with equilibrium, vanishing and switching constraints, invexity, multiobjective optimization, nonlinear programming, linear programming, variational inequalities, generalized convexity, integral inequalities, global optimization, nonsmooth analysis, convex optimization, nonlinear optimization, and numerical optimization.

Nidhi Sharma is Fellow of the Council of Scientific Industrial Research (CSIR) at the Department of Mathematics, Institute of Science, Varanasi, India. She received the M.Sc. degree in Mathematics from Banaras Hindu University, Varanasi, India. She is working on generalized convexity and integral inequalities under the supervision of Prof. S. K. Mishra. Her current research interests include integral inequalities, generalized convexities, set valued functions, and stochastic process.

Jaya Bisht is DST INSPIRE Fellow (Senior Research Fellow) at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India. She received BSc. and M.Sc. degree in Mathematics from Hemwati Nandan Bahuguna Garhwal University (Central University), Srinagar, India. She is awarded Junior Research Fellowship (JRF) from Human Resource Development Group of Council of Scientific Industrial Research (HRD-CSIR), Government of India. Her current research interest includes integral inequalities, generalized convexities, Set valued functions, and stochastic process.

Integral Inequalities and Generalized Convexity

Mishra Shashi Kant Sharma, Nidhi Bisht, Jaya
Innbundet / 2023 / Engelsk
Mishra Shashi Kant Sharma, Nidhi Bisht, Jaya
Innbundet / 2023 / Engelsk
Nettpris:
1.290,-
Levering 7-20 dager
Sjekk lagerstatus i butikk
The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus.The book contains integral inequalities of Hermite-Hadamard type, Hermite- Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions.Features:Covers Interval-valued calculus, Time scale calculus, Stochastic processes – all in one single bookNumerous examples to validate resultsProvides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitionersApplications of some special means of real numbers are also discussedThe book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area.
Les mer
The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus.
Les mer
1. Introduction. 2. Integral Inequalities for Strongly Generalized Convex Functions. 3. Integral Inequalities for Strongly Generalized Convex Functions of Higher Order. 4. Integral Inequalities for Generalized Preinvex Functions. 5. Some Majorization Integral Inequalities for Functions Defined on Rectangles via Strong Convexity. 6. Hermite-Hadamard type Inclusions for Interval-Valued Generalized Preinvex Functions. 7. Some Inequalities for Multidimensional General h-Harmonic Preinvex and Strongly Generalized Convex Stochastic Processes. 8. Applications.
Les mer

Relaterte produkter

The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus.The book contains integral inequalities of Hermite-Hadamard type, Hermite- Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions.Features:Covers Interval-valued calculus, Time scale calculus, Stochastic processes – all in one single bookNumerous examples to validate resultsProvides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitionersApplications of some special means of real numbers are also discussedThe book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area.
Les mer
The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus.
Les mer
1. Introduction. 2. Integral Inequalities for Strongly Generalized Convex Functions. 3. Integral Inequalities for Strongly Generalized Convex Functions of Higher Order. 4. Integral Inequalities for Generalized Preinvex Functions. 5. Some Majorization Integral Inequalities for Functions Defined on Rectangles via Strong Convexity. 6. Hermite-Hadamard type Inclusions for Interval-Valued Generalized Preinvex Functions. 7. Some Inequalities for Multidimensional General h-Harmonic Preinvex and Strongly Generalized Convex Stochastic Processes. 8. Applications.
Les mer

Produktdetaljer

ISBN
9781032526324
Publisert
2023-09-18
Utgiver
Vendor
Chapman & Hall/CRC
Vekt
920 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
U, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
258

Forfatter
Mishra Shashi Kant
Sharma, Nidhi
Bisht, Jaya

Om bidragsyterne

Shashi Kant Mishra Ph.D., D.Sc. is Professor at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India, with over 24 years of teaching experience. He has authored eight books, including textbooks and monographs, and has been on the editorial boards of several important international journals. He has guest edited special issues of the Journal of Global Optimization; Optimization Letters (both Springer Nature) and Optimization (Taylor & Francis). He has received INSA Teacher Award 2020 from Indian National Science Academy, New Delhi and DST Fast Track Fellow 2001 from Ministry of Science and Technology, Government of India. Prof. Mishra has published over 203 research articles in reputed international journals and supervised 21 Ph.D. students. He has visited around 15 institutes/ universities in countries such as France, Canada, Italy, Spain, Japan, Taiwan, China, Singapore, Vietnam, and Kuwait. His current research interest includes mathematical programming with equilibrium, vanishing and switching constraints, invexity, multiobjective optimization, nonlinear programming, linear programming, variational inequalities, generalized convexity, integral inequalities, global optimization, nonsmooth analysis, convex optimization, nonlinear optimization, and numerical optimization.

Nidhi Sharma is Fellow of the Council of Scientific Industrial Research (CSIR) at the Department of Mathematics, Institute of Science, Varanasi, India. She received the M.Sc. degree in Mathematics from Banaras Hindu University, Varanasi, India. She is working on generalized convexity and integral inequalities under the supervision of Prof. S. K. Mishra. Her current research interests include integral inequalities, generalized convexities, set valued functions, and stochastic process.

Jaya Bisht is DST INSPIRE Fellow (Senior Research Fellow) at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India. She received BSc. and M.Sc. degree in Mathematics from Hemwati Nandan Bahuguna Garhwal University (Central University), Srinagar, India. She is awarded Junior Research Fellowship (JRF) from Human Resource Development Group of Council of Scientific Industrial Research (HRD-CSIR), Government of India. Her current research interest includes integral inequalities, generalized convexities, Set valued functions, and stochastic process.

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